Complex Analysis and Operator Theory

Papers
(The TQCC of Complex Analysis and Operator Theory is 1. 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
The Local Operator Moment Problem on $${\mathbb {R}}$$12
Evaluating Borwein Integrals Using Residue Theory12
Boundedness of Integral Operators on Hardy–Sobolev Space8
Biorthogonal Approach Associated with the Fractional Laguerre Appell Polynomials8
Characterization of Non-Stationary Wavelets and Non-Stationary Multiresolution Analysis Wavelets Related to Walsh Functions7
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
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
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
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
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
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
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
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
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
On a Class of Subdiagonal Algebras2
Dirichlet Problem for Nonlinear Higher-Order Equations in Upper Half Plane2
Weyl Sets in a Non-degenerate Truncated Matricial Hausdorff Moment Problem2
Weighted Bergman Spaces Associated with the Hyperbolic Group2
Basic Properties of Solutions of Boundary Value Problem for the Dirac-Wave Operator2
Spectrality of a Class of Moran Measures on $$\mathbb {R}^n$$2
Harmonic Bergman Spaces on the Real Hyperbolic Ball: Atomic Decomposition, Interpolation and Inclusion Relations2
Dirichlet Boundary Value Problems for Monogenic Functions of Prescribed Hölder Continuously Differentiable Data on Distinguishing Boundaries in Clifford Analysis2
Adaptive Decompositions in Monogenic Reproducing Kernel Hilbert Spaces of Paley–Wiener Type2
Cohn–Elkies Functions from Gabor Frames2
Traces for Sturm–Liouville Operators on a Caterpillar Graph2
Localization Operators and Scalogram in the Framework of Mehler–Fock Wavelet Transform2
Sums of Polyanalytic Dual Toeplitz Products2
Wellposedness of Second Order Evolution Equations2
Semicommutators of Truncated Toeplitz Operators2
Characterization of Forward, Vanishing, and Reverse Bergman Carleson Measures using Sparse Domination2
Some Relations Between Schwarz–Pick Inequality and von Neumann’s Inequality2
Jacobson’s Lemma for Spectral Idempotents in Banach Algebras2
Correction to: Almansi-Type Decomposition for Slice Regular Functions of Several Quaternionic Variables2
m-Isometric Composition Operators on Discrete Spaces2
Refined Estimations for Some Types of Entropies and Divergences2
Fredholm Index of 3-Tuple of Restriction Operators and the Pair of Fringe Operators for Submodules in $$H^2({\mathbb {D}}^3)$$2
Norm-Preserving Holomorphic Expansions of Random Functions on Unitary Matrix Groups2
Factorizations of Characteristic Functions of Iterated Liftings2
The Berberian’s Transform and an Asymmetric Putnam–Fuglede Theorem2
On Compactness of Products of Toeplitz Operators2
Stepanov and Weyl Classes of c-Almost Periodic Type Functions2
Quaternionic Convolutional Neural Networks with Trainable Bessel Activation Functions2
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
Extended Joint Numerical Radius of the Spherical Aluthge Transform2
Slice Spirallike Functions over Quaternions2
The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices2
C*-Algebras Generated by Radial Toeplitz Operators on Polyanalytic Weighted Bergman Spaces2
Variational Principles in Quaternionic Analysis with Applications to the Stationary MHD Equations2
Completeness of Resonance States and Weyl Asymptotics of Resonances for Quantum Graphs2
Remarks on Commuting Functions of Operators2
Function Theory from Tensor Algebras2
Approximation by Modified Taylor Polynomials in the Harmonically Weighted Dirichlet Spaces2
On an Extension of Stević–Sharma Operator from Weighted Bergman–Orlicz Space to Weighted-Type Space on the Unit Ball2
The Boundedness of Forelli–Rudin Type Operators on the Siegel Upper Half Space2
The Sharp Bound of the Third Hankel Determinant for Starlike Functions of Order 1/22
On the Structure of Real Operators1
Normal Holomorphic Mappings in Complex Space1
Construction of the Riemann Map1
Local Hopf Lemma for Certain Degenerate Elliptic Operators on the Half-Space1
Hilbert Transform, Nevanlinna Class and Toeplitz Kernels1
Sharp Pointwise Estimate of $$\alpha $$-Harmonic Functions1
Holomorphic Functions on the Lie Ball and Their Monogenic Counterparts1
Complex Hessian Operator Associated to an m-Positive Closed Current and Weighted m-Capacity1
On Characterization of Hilbert Transform of Riemannian Surface with Boundary1
The Twistor Space of $${\mathbb {R}}^{4n}$$ and Berezin–Toeplitz Operators1
Frame Wavelets of Local Fields with No Dual Wavelet Frames1
Weighted Composition Semigroups on Spaces of Continuous Functions and Their Subspaces1
2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane1
On the Connected Components of a Certain Class of Blaschke Products in the Uniform Topology1
The Growth Rate of Harmonic Functions in the Fock Spaces1
Orthogonal Exponential Functions on the Three-Dimensional Sierpinski Gasket1
Three-Jets Determinations of Normalized Proper Holomorphic Maps from $$ \mathbb {H}_n$$ into $$\mathbb {H}_{3n-2}$$1
Further Berezin Number and Berezin Norm Inequalities for Sums and Products of Operators1
Inequalities Involving Berezin Norm and Berezin Number1
Bergman Kernels of Two Dimensional Monomial Polyhedra1
Hankel Operators Between Different Fock–Sobolev Type Spaces1
BMO on Weighted Bergman Spaces Over Tubular Domains1
On Fiber Bundles and Quaternionic Slice Regular Functions1
On the Differentiation of Integrals in Measure Spaces Along Filters: II1
Blow-Up Theorems for p-Sub-Laplacian Heat Operators on Stratified Groups1
Estimation of Bounds for the Zeros of Polynomials and Regular Functions of a Quaternionic Variable1
Fractional Integration on Mixed Norm Spaces. I1
Explicit Relation Between Two Resolvent Matrices of the Truncated Hausdorff Matrix Moment Problem1
Controllability of Mild Solutions for Second-Order Neutral Evolution Equations with State-Dependent Delay1
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
Automorphic Carathéodory–Julia Theorem1
Arithmetic and Analysis of the Series $${ \sum _{n=1}^{\infty } \frac{1}{n} \sin \frac{x}{n} }$$1
Application of the Fractional Sturm–Liouville Theory to a Fractional Sturm–Liouville Telegraph Equation1
Carleson Measures for Harmonic Fock Spaces in the Plane1
Topological Regularity for Solutions to the Generalised Hopf Equation1
Characterization of Pure Contractive Multipliers and Applications1
A Generalization of Ando’s Dilation, and Isometric Dilations for a Class of Tuples of q-Commuting Contractions1
Reproducing Kernel Theory Associated with the Generalized Stockwell Transform and Applications1
Zero-Range Hamiltonian for a Bose Gas with an Impurity1
Dolbeault and J-Invariant Cohomologies on Almost Complex Manifolds1
Integral Representation Formulas in Banach Algebra Settings1
Singular Integral Operators with Rough Kernel on Function Spaces Over Local Fields1
A Note on the Invariant Subspace Problem1
Analytic Function Spaces Associated with the p-Carleson Measure for the Bloch Space1
The Jacobi Operator on $$(-1,1)$$ and Its Various m-Functions1
Some Fundamental Formulas for an Integration on Infinite Dimensional Hilbert Spaces1
Integral Transforms of Signumdistributions1
b-AM-Dunford–Pettis Operators on Banach lattices1
Vector-Valued Reproducing Kernel Hilbert $$C^*$$-Modules1
Superoscillating Sequences and Supershifts for Families of Generalized Functions1
Yet Another Approach to Poly-Bergman Spaces1
Some Generalizations of the Hawaii Conjecture and Beyond1
Operator Power means in the View of Fixed Points1
Geometry of Five Point Sets in the Complex Ball1
$$L\log L$$ Type Estimates for Commutators of Fractional Integral Operators on the p-Adic Vector Space1
Stochastic Clairaut Equation on Algebra of Generalized Functions1
Notes on Hypercyclicity of Composition Operator on the Weighted Dirichlet Spaces1
Linear Canonical Bargmann Transform1
Demicompactness Results and Frobenuis Schur’s Decomposition for Block Operator Matrices in Right Quaternionic Hilbert Spaces1
Octonionic Kerzman–Stein Operators1
The Generalized Toeplitz Determinants for a Class of Holomorphic Mappings in Several Complex Variables1
On the Submultiplicativity of Matrix Norms Induced by Random Vectors1
Bochner–Hecke Theorems in the Generalized Weinstein Theory Setting1
Moment Infinite Divisibility of Weighted Shifts: Sequence Conditions1
Multiple and Nodal Solutions for Parametric Dirichlet Equations Driven by the Double Phase Differential Operator1
Spectral Analysis of Perturbed Fredholm Operators1
A Derivative-Hilbert Operator Acting on the Bloch Space1
Existence of Solutions for a Singular Double Phase Kirchhoff Type Problems Involving the Fractional q(x, .)-Laplacian Operator1
On Orthogonal Polynomials Related to Arithmetic and Harmonic Sequences1
Free Probability on the Limit $$C^{*}$$-Algebra Induced by a Chain of Graphs1
Non-spectrality of a class of Moran measures on $$\mathbb {R}^{3}$$1
The Essential Adjointness of Pseudo-Differential Operators on $$\mathbb {Z}^n$$1
Families of Symmetric Operators with Trivial Domains of Their Squares1
Counterexamples to Bicomplex Analogue of Bloch’s Principle and its Converse1
The Dirichlet Problem for the Complex Monge–Ampère Operator on Strictly Plurifinely Pseudoconvex Domains1
On the Similarity of Boundary Triples of Symmetric Operators in Krein Spaces1
Bergman Kernel, Szegö Kernel and Dirichlet Integral1
Characterizations of Square Roots of Unitary Weighted Composition Operators on $$H^2$$1
On the Relation Between S-Spectrum and Right Spectrum1
Hodge Decomposition for Generalized Vekua Spaces in Higher Dimensions1
The Spectrum of the Non-self-adjoint Twisted Laplacian on $$\displaystyle \mathbb {R}^2$$1
Band Edge Limit of the Scattering Matrix for Quasi-One-Dimensional Discrete Schrödinger Operators1
Riesz Means on Locally Symmetric Spaces1
Carleson Measures for Weighted Harmonic Mixed-Norm Spaces and Toeplitz Operators1
Commutative Toeplitz Algebras and Their Gelfand Theory: Old and New Results1
Rawnsley’s $$\varepsilon $$-Function on a Class of Bounded Hartogs Domains and its Applications1
Rota–Baxter Operators and Loday-Type Algebras on the BiHom-Associative Conformal Algebras1
The Kernels of Hankel Operators on the Full Fock Space1
Browder S-Resolvent Equation in Quaternionic Setting1
A Characterization of Invariant Subspaces for Isometric Representations of Product System over $$\mathbb {N}_0^{k}$$1
Comment to: Dynamics of Weighted Composition Operators1
Povzner–Wienholtz-Type Theorems for Sturm–Liouville Operators with Singular Coefficients1
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
Higher Dimensional Numerical Range of $$\xi $$-Lie Products on Bound Self-adjoint Operators1
Semi-commutants of Toeplitz Operators on Fock–Sobolev Space of Nonnegative Orders1
Operator Theory on Noncommutative Varieties in Polydomains1
A Peak Set with a Maximal Hausdorff Dimension on Each Slice1
Existence of Geodesic Spirals for the Kobayashi–Fuks Metric on Planar Domains1
Closures of Holomorphic Tent Spaces in Weighted Bloch Spaces1
S-Nodes, Factorisation of Spectral Matrix Functions and Corresponding Inequalities1
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