Complex Analysis and Operator Theory

Papers
(The median citation count of Complex Analysis and Operator Theory is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-04-01 to 2025-04-01.)
ArticleCitations
Weak Solutions to the Complex m-Hessian Type Equation on Open Subsets of $${\mathbb {C}}^n$$20
Asymptotic Behaviour of the Non-real Pair-Eigenvalues of a Two Parameter Eigenvalue Problem17
Composition Operators on Function Spaces on the Halfplane: Spectra and Semigroups13
Evaluating Borwein Integrals Using Residue Theory12
The Local Operator Moment Problem on $${\mathbb {R}}$$12
Biorthogonal Approach Associated with the Fractional Laguerre Appell Polynomials8
Boundedness of Integral Operators on Hardy–Sobolev Space8
Dilations and Operator Models of $${\mathcal {W}}$$-Hypercontractions7
The Banach–Stone Theorem in Finsler $$C^*$$-Modules7
Boundedness of the Bochner–Riesz Operators on the Weighted Herz–Morrey Type Hardy Spaces7
Characterization of Non-Stationary Wavelets and Non-Stationary Multiresolution Analysis Wavelets Related to Walsh Functions7
On Hardy-Like Spaces Induced by Tracial Unital Banach $$*$$-Probability Spaces6
Noncommutative Mulholland Inequalities Associated with Factors and Their Applications6
Paley–Wiener-Type Theorems Associated to the Laplace–Bessel Operator6
The Poisson Convolution Associated with the Spherical Mean Operator6
Generalized Weighted Composition Operators on Vector-Valued Weighted Bergman Space6
Solutions for a Nonlocal Elliptic System with General Growth6
Uncertainty Principles with Discrete Quaternion Fourier Transforms6
Local Ergodic Theorems for $$C_0$$-Semigroups5
Fractional Laplacian Elliptic Systems with Multiple Parameters5
Entire Symmetric Operators in de Branges–Pontryagin Spaces and a Truncated Matrix Moment Problem5
Pseudo Almost Periodic Solution for Some Differential Equations with Piecewise Constant Argument and Applications5
Realization of Inverse Stieltjes Functions $$(-m_\alpha (z))$$ by Schrödinger L-Systems5
Characterization of Dual Scalable Frames5
Topological Properties of Regular Boundary Domains in Riemannian Manifolds5
Szegö’s Theorem on Hardy Spaces Induced by Rotation-Invariant Borel Measures5
Inequalities for N-Operator5
Flexibility of Analysis Serving Computational Polynomial Algebra or Arithmetics5
On the Toeplitz Algebra in the Case of All Entire Functions and All Functions Holomorphic in the Unit Disc4
Freedman Inequality in Noncommutative Probability Spaces4
Some Operators on Minimal $$\alpha $$-Möbius Invariant Function Spaces4
Steven George Krantz (1951 -) Celebrates his 70th Birthday4
Characteristic Polynomials of Random Banded Hessenberg Matrices and Hermite–Padé Approximation4
Riesz Projection and Essential S-spectrum in Quaternionic Setting4
Heisenberg Uncertainty Principles for the Dunkl-Type Fock Space4
Hadamard–Bergman Operators on Weighted Spaces4
Higgs Algebras in Classical Harmonic Analysis4
Some Approximation Properties of Parametric Baskakov–Schurer–Szász Operators Through a Power Series Summability Method4
Gradient Estimates in the Whole Space for the Double Phase Problems by the Maximal Function Method4
Quadratic Fock Space Calculus (II): Positivity of the Preservation Operator and Linear Independence of the Quadratic Exponential Vectors4
Distributions for Nonsymmetric Monotone and Weakly Monotone Position Operators3
The Resolution of Euclidean Massless Field Operators of Higher Spins on $${\mathbb {R}}^6$$ and the $$L^2$$ Method3
A-Isometries and Hilbert-A-Modules Over Product Domains3
Norm Estimates for Selfadjoint Toeplitz Operators on the Fock Space3
Closures of Bergman–Besov Spaces in the Weighted Bloch Spaces on the Unit Ball3
Modulus of Smoothness and Approximation Theorems in Clifford Analysis3
Free Probability on Banach Algebras Induced by Scaled Hypercomplex Numbers3
Szegő and Widom Theorems for Finite Codimensional Subalgebras of a Class of Uniform Algebras3
Scattering Operator and Wave Operators for 2D Schrödinger Operators with Threshold Obstructions3
Integration of Functions of a Hyperbolic Variable3
Variable Triebel–Lizorkin–Lorentz Spaces Associated to Operators3
A Schwarz Lemma for the Symmetrized Polydisc Via Estimates on Another Family of Domains3
Hausdorff Operators on Weighted Banach Spaces of Type $$H^{\infty }$$3
Characterization and Non-characterization of Domains by Their Isotropy Groups3
Krein Space Representations and Radon–Nikodým Theorem for Local $$\alpha $$-Completely Positive Maps3
p-Summable Commutators in Bergman Spaces on Egg Domains3
Endpoint Behavior of the Bergman Projection on a Class of n-dimensional Hartogs Triangles3
Representation Theorems for the Cauchy Transform in Weighted Bergman–Dirichlet Spaces3
Boundary Distance Functions of Riemann Domains Over Pre-Hilbert Spaces3
Carleson Measures and Toeplitz Operators Between Bergman Spaces on the Siegel Upper Half-space3
The Kaczmarz Algorithm in Banach Spaces3
Extension of the Bessmertnyĭ Realization Theorem for Rational Functions of Several Complex Variables3
An Operator Version of the Jensen Inequality for s-Convex Functions3
Numerical Radius and Norm Bounds via the Moore-Penrose Inverse3
Closure in the Logarithmic Bloch Norm of Dirichlet Type Spaces3
Sets of Uniqueness, Weakly Sufficient Sets and Sampling Sets for Weighted Spaces of Holomorphic Functions in the Unit Ball3
Relatively Bounded Perturbations of J-Non-Negative Operators3
Dirichlet Problem for Nonlinear Higher-Order Equations in Upper Half Plane2
Norm-Preserving Holomorphic Expansions of Random Functions on Unitary Matrix Groups2
Weyl Sets in a Non-degenerate Truncated Matricial Hausdorff Moment Problem2
The Berberian’s Transform and an Asymmetric Putnam–Fuglede Theorem2
Spectrality of a Class of Moran Measures on $$\mathbb {R}^n$$2
Stepanov and Weyl Classes of c-Almost Periodic Type Functions2
Harmonic Bergman Spaces on the Real Hyperbolic Ball: Atomic Decomposition, Interpolation and Inclusion Relations2
Quaternionic Convolutional Neural Networks with Trainable Bessel Activation Functions2
Adaptive Decompositions in Monogenic Reproducing Kernel Hilbert Spaces of Paley–Wiener Type2
Traces for Sturm–Liouville Operators on a Caterpillar Graph2
Slice Spirallike Functions over Quaternions2
The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices2
Completeness of Resonance States and Weyl Asymptotics of Resonances for Quantum Graphs2
Semicommutators of Truncated Toeplitz Operators2
Characterization of Forward, Vanishing, and Reverse Bergman Carleson Measures using Sparse Domination2
Function Theory from Tensor Algebras2
Jacobson’s Lemma for Spectral Idempotents in Banach Algebras2
On an Extension of Stević–Sharma Operator from Weighted Bergman–Orlicz Space to Weighted-Type Space on the Unit Ball2
m-Isometric Composition Operators on Discrete Spaces2
The Boundedness of Forelli–Rudin Type Operators on the Siegel Upper Half Space2
Fredholm Index of 3-Tuple of Restriction Operators and the Pair of Fringe Operators for Submodules in $$H^2({\mathbb {D}}^3)$$2
The Sharp Bound of the Third Hankel Determinant for Starlike Functions of Order 1/22
Factorizations of Characteristic Functions of Iterated Liftings2
On Compactness of Products of Toeplitz Operators2
Weighted Bergman Spaces Associated with the Hyperbolic Group2
Basic Properties of Solutions of Boundary Value Problem for the Dirac-Wave Operator2
Sequences of Operators, Monotone in the Sense of Contractive Domination2
$${{\mathcal {R}}}$$-Bounded Operator Families Arising from a Compressible Fluid Model of Korteweg Type with Surface Tension in the Half-Space2
Dirichlet Boundary Value Problems for Monogenic Functions of Prescribed Hölder Continuously Differentiable Data on Distinguishing Boundaries in Clifford Analysis2
Extended Joint Numerical Radius of the Spherical Aluthge Transform2
Cohn–Elkies Functions from Gabor Frames2
C*-Algebras Generated by Radial Toeplitz Operators on Polyanalytic Weighted Bergman Spaces2
Localization Operators and Scalogram in the Framework of Mehler–Fock Wavelet Transform2
Variational Principles in Quaternionic Analysis with Applications to the Stationary MHD Equations2
Sums of Polyanalytic Dual Toeplitz Products2
Remarks on Commuting Functions of Operators2
Wellposedness of Second Order Evolution Equations2
Approximation by Modified Taylor Polynomials in the Harmonically Weighted Dirichlet Spaces2
Some Relations Between Schwarz–Pick Inequality and von Neumann’s Inequality2
Correction to: Almansi-Type Decomposition for Slice Regular Functions of Several Quaternionic Variables2
Refined Estimations for Some Types of Entropies and Divergences2
On a Class of Subdiagonal Algebras2
The Twistor Space of $${\mathbb {R}}^{4n}$$ and Berezin–Toeplitz Operators1
Characterizations of Square Roots of Unitary Weighted Composition Operators on $$H^2$$1
Complex Hessian Operator Associated to an m-Positive Closed Current and Weighted m-Capacity1
2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane1
The Spectrum of the Non-self-adjoint Twisted Laplacian on $$\displaystyle \mathbb {R}^2$$1
Frame Wavelets of Local Fields with No Dual Wavelet Frames1
Orthogonal Exponential Functions on the Three-Dimensional Sierpinski Gasket1
Carleson Measures for Weighted Harmonic Mixed-Norm Spaces and Toeplitz Operators1
On the Connected Components of a Certain Class of Blaschke Products in the Uniform Topology1
Inequalities Involving Berezin Norm and Berezin Number1
Rota–Baxter Operators and Loday-Type Algebras on the BiHom-Associative Conformal Algebras1
Three-Jets Determinations of Normalized Proper Holomorphic Maps from $$ \mathbb {H}_n$$ into $$\mathbb {H}_{3n-2}$$1
Browder S-Resolvent Equation in Quaternionic Setting1
Comment to: Dynamics of Weighted Composition Operators1
Hankel Operators Between Different Fock–Sobolev Type Spaces1
On Fiber Bundles and Quaternionic Slice Regular Functions1
Higher Dimensional Numerical Range of $$\xi $$-Lie Products on Bound Self-adjoint Operators1
On the Differentiation of Integrals in Measure Spaces Along Filters: II1
Blow-Up Theorems for p-Sub-Laplacian Heat Operators on Stratified Groups1
A Peak Set with a Maximal Hausdorff Dimension on Each Slice1
Fractional Integration on Mixed Norm Spaces. I1
Explicit Relation Between Two Resolvent Matrices of the Truncated Hausdorff Matrix Moment Problem1
S-Nodes, Factorisation of Spectral Matrix Functions and Corresponding Inequalities1
Infinite Order Differential Operators Associated with Superoscillations in the Half-Plane Barrier1
Gevrey Type Regularity of the Riesz–Feller Operator Perturbed by Gradient in $$L^p(\mathbb {R})$$1
Construction of the Riemann Map1
Carleson Measures for Harmonic Fock Spaces in the Plane1
Arithmetic and Analysis of the Series $${ \sum _{n=1}^{\infty } \frac{1}{n} \sin \frac{x}{n} }$$1
Sharp Pointwise Estimate of $$\alpha $$-Harmonic Functions1
Characterization of Pure Contractive Multipliers and Applications1
Reproducing Kernel Theory Associated with the Generalized Stockwell Transform and Applications1
Topological Regularity for Solutions to the Generalised Hopf Equation1
Integral Representation Formulas in Banach Algebra Settings1
On Characterization of Hilbert Transform of Riemannian Surface with Boundary1
Zero-Range Hamiltonian for a Bose Gas with an Impurity1
Analytic Function Spaces Associated with the p-Carleson Measure for the Bloch Space1
Weighted Composition Semigroups on Spaces of Continuous Functions and Their Subspaces1
Singular Integral Operators with Rough Kernel on Function Spaces Over Local Fields1
Integral Transforms of Signumdistributions1
The Growth Rate of Harmonic Functions in the Fock Spaces1
The Jacobi Operator on $$(-1,1)$$ and Its Various m-Functions1
Superoscillating Sequences and Supershifts for Families of Generalized Functions1
Further Berezin Number and Berezin Norm Inequalities for Sums and Products of Operators1
b-AM-Dunford–Pettis Operators on Banach lattices1
Bergman Kernels of Two Dimensional Monomial Polyhedra1
BMO on Weighted Bergman Spaces Over Tubular Domains1
Yet Another Approach to Poly-Bergman Spaces1
Operator Power means in the View of Fixed Points1
Estimation of Bounds for the Zeros of Polynomials and Regular Functions of a Quaternionic Variable1
$$L\log L$$ Type Estimates for Commutators of Fractional Integral Operators on the p-Adic Vector Space1
Notes on Hypercyclicity of Composition Operator on the Weighted Dirichlet Spaces1
Controllability of Mild Solutions for Second-Order Neutral Evolution Equations with State-Dependent Delay1
Linear Canonical Bargmann Transform1
Demicompactness Results and Frobenuis Schur’s Decomposition for Block Operator Matrices in Right Quaternionic Hilbert Spaces1
Automorphic Carathéodory–Julia Theorem1
The Generalized Toeplitz Determinants for a Class of Holomorphic Mappings in Several Complex Variables1
On the Submultiplicativity of Matrix Norms Induced by Random Vectors1
Application of the Fractional Sturm–Liouville Theory to a Fractional Sturm–Liouville Telegraph Equation1
Moment Infinite Divisibility of Weighted Shifts: Sequence Conditions1
Multiple and Nodal Solutions for Parametric Dirichlet Equations Driven by the Double Phase Differential Operator1
A Generalization of Ando’s Dilation, and Isometric Dilations for a Class of Tuples of q-Commuting Contractions1
Existence of Solutions for a Singular Double Phase Kirchhoff Type Problems Involving the Fractional q(x, .)-Laplacian Operator1
Free Probability on the Limit $$C^{*}$$-Algebra Induced by a Chain of Graphs1
A Derivative-Hilbert Operator Acting on the Bloch Space1
Non-spectrality of a class of Moran measures on $$\mathbb {R}^{3}$$1
Families of Symmetric Operators with Trivial Domains of Their Squares1
Dolbeault and J-Invariant Cohomologies on Almost Complex Manifolds1
On the Similarity of Boundary Triples of Symmetric Operators in Krein Spaces1
A Note on the Invariant Subspace Problem1
Counterexamples to Bicomplex Analogue of Bloch’s Principle and its Converse1
On the Relation Between S-Spectrum and Right Spectrum1
Some Fundamental Formulas for an Integration on Infinite Dimensional Hilbert Spaces1
Bergman Kernel, Szegö Kernel and Dirichlet Integral1
Band Edge Limit of the Scattering Matrix for Quasi-One-Dimensional Discrete Schrödinger Operators1
Vector-Valued Reproducing Kernel Hilbert $$C^*$$-Modules1
Hodge Decomposition for Generalized Vekua Spaces in Higher Dimensions1
Commutative Toeplitz Algebras and Their Gelfand Theory: Old and New Results1
Some Generalizations of the Hawaii Conjecture and Beyond1
Riesz Means on Locally Symmetric Spaces1
Geometry of Five Point Sets in the Complex Ball1
Stochastic Clairaut Equation on Algebra of Generalized Functions1
Rawnsley’s $$\varepsilon $$-Function on a Class of Bounded Hartogs Domains and its Applications1
The Kernels of Hankel Operators on the Full Fock Space1
Octonionic Kerzman–Stein Operators1
A Characterization of Invariant Subspaces for Isometric Representations of Product System over $$\mathbb {N}_0^{k}$$1
Povzner–Wienholtz-Type Theorems for Sturm–Liouville Operators with Singular Coefficients1
Bochner–Hecke Theorems in the Generalized Weinstein Theory Setting1
Regularity and Compactness Properties of Integral Hankel Operators and Their Singular Vectors1
Bounds on the Non-real Eigenvalues of Nonlocal Indefinite Sturm–Liouville Problems with Coupled Boundary Conditions1
Spectral Analysis of Perturbed Fredholm Operators1
Semi-commutants of Toeplitz Operators on Fock–Sobolev Space of Nonnegative Orders1
Operator Theory on Noncommutative Varieties in Polydomains1
On Orthogonal Polynomials Related to Arithmetic and Harmonic Sequences1
Existence of Geodesic Spirals for the Kobayashi–Fuks Metric on Planar Domains1
Closures of Holomorphic Tent Spaces in Weighted Bloch Spaces1
The Essential Adjointness of Pseudo-Differential Operators on $$\mathbb {Z}^n$$1
Normal Holomorphic Mappings in Complex Space1
Local Hopf Lemma for Certain Degenerate Elliptic Operators on the Half-Space1
On the Structure of Real Operators1
Holomorphic Functions on the Lie Ball and Their Monogenic Counterparts1
The Dirichlet Problem for the Complex Monge–Ampère Operator on Strictly Plurifinely Pseudoconvex Domains1
Hilbert Transform, Nevanlinna Class and Toeplitz Kernels1
Fractal Convolution on the Rectangle0
On the Closed Range Weighted Composition–Differentiation Operator0
Number Theoretic Related to the Scaling Spectrum of Self-similar Measure with Three Element Digit Sets0
Spectral Approximation of Generalized Schrödinger Operators via Approximation of Subwords0
Approximation on Slices in Balanced Strictly Convex Domains with $$C^{2}$$ boundary0
Backtracking New Q-Newton’s Method, Newton’s Flow, Voronoi’s Diagram and Stochastic Root Finding0
Weak$$^*$$-2-Local Derivations on Semi-finite von Neumann Algebras0
On the Manifolds with Noncompact Automorphism Groups0
Existence of Solutions for a Class of Fractional $$p-$$Laplacian Equations with Innovative Conditions0
A Question About Invariant Subspaces and Factorization0
Minimal Invariant Subspaces for an Affine Composition Operator0
On the Characterization of Symmetries Concerning J-Contractive Projections0
Toeplitz Operators on the Fock Space with Quasi-Radial Symbols0
Almansi-Type Theorem for Polymonogenic Functions in ballshell Domain0
Minimal Realizations of Atomic Density Functions0
Quaternion Hyperbolic Fourier Transforms and Uncertainty Principles0
Completing an Operator Matrix and the Free Joint Numerical Radius0
A Nagy–Foias Program for a C.N.U. $$\Gamma _n$$-Contraction0
A Note on Joint Spectrum in Function Spaces0
Difference of Weighted Composition Operators Over the Ball0
The Cowen-Douglas Theory for Operator Tuples and Similarity0
Integrals of Bicomplex Functions and Their Relationship with Hyperbolic Curves0
Complex Symmetric Weighted Composition Operators on Weighted Bergman Spaces0
Existence and Uniqueness of Solution for a $$\psi $$-Riemann-Liouville Fractional Stochastic Differential Equation0
A Kreiss Type Inequality for Rational Functions on General Domains0
Spectral Analysis Near Regular Point of Reducibility and Representations of Coxeter Groups0
The Regularity and Uniform Positivity of the Range of Orthogonal Projections0
Schanuel’s Lemma for Exact Categories0
Sharp Coefficients Bounds for Starlike Functions Associated with Gregory Coefficients0
Correction to: Canonical Decomposition of Operators Associated with the Symmetrized Polydisc0
Discussion on Matrices Fixed Nullity in Complement Problem of Operator Matrices0
On the Stochastic Evolution Equation Driven by Brownian Motion in a Separable Space0
Poisson’s Equation for Abel-Ergodic Theorems0
Application of the Weyl Calculus Perspective on Discrete Octonionic Analysis in Bounded Domains0
Biquaternion Windowed Linear Canonical Transform and Associated Uncertainty Inequalities0
The Powers of Regular Linear Relations0
Bicomplex Polyharmonicity and Polyholomorphy0
On an Involution in the Class of Non-negative Hermitian Matrix Measures on a Compact Interval0
On an Application of Jack’s Lemma, Starlikeness and k-Fold Symmetry in $${\mathbb {C}}^{n}$$0
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