Maofa Wang
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View article: Absolutely summing Carleson embeddings on weighted Fock spaces with $A_{\infty}$-type weights
Absolutely summing Carleson embeddings on weighted Fock spaces with $A_{\infty}$-type weights Open
In this paper, we investigate the $r$-summing Carleson embeddings on weighted Fock spaces $F^p_{α,w}$. By using duality arguments, translating techniques and block diagonal operator skills, we completely characterize the $r$-summability of…
View article: Fock projections on vector-valued $L^p$-spaces with matrix weights
Fock projections on vector-valued $L^p$-spaces with matrix weights Open
In this paper, we characterize the $d\times d$ matrix weights $W$ on $\mathbb{C}^n$ such that the Fock projection $P_α$ is bounded on the vector-valued spaces $L^p_{α,W}(\mathbb{C}^n;\mathbb{C}^d)$ induced by $W$ and the Gaussian measures.…
View article: Littlewood-type theorems for random Dirichlet series
Littlewood-type theorems for random Dirichlet series Open
In this paper, we completely give the solution of the problem of Littlewood-type randomization in the Hardy and Bergman spaces of Dirichlet series. The Littlewood-type theorem for Bergman spaces of Dirichlet series is very different from t…
View article: Composition Operators on Hilbert Spaces of Dirichlet Series
Composition Operators on Hilbert Spaces of Dirichlet Series Open
Motivated by a theorem of Gordon and Hedenmalm in 1999, the study of composition operators acting on various scales of function spaces of Dirchlet series has arisen intensive interest. In this paper, we characterize the boundedness of comp…
View article: Magnetoacoustic Wave Scattering and Dynamic Stress Concentration around the Elliptical Opening in Exponential-Gradient Piezomagnetic Materials
Magnetoacoustic Wave Scattering and Dynamic Stress Concentration around the Elliptical Opening in Exponential-Gradient Piezomagnetic Materials Open
Based on the theory of magnetoacoustic coupled dynamics, the purpose of this paper is to evaluate the dynamic stress concentration near an elliptical opening in exponential-gradient piezomagnetic materials under the action of antiplane she…
View article: Numerical Simulation of Elastic Wave Field in Viscoelastic Two-Phasic Porous Materials Based on Constant Q Fractional-Order BISQ Model
Numerical Simulation of Elastic Wave Field in Viscoelastic Two-Phasic Porous Materials Based on Constant Q Fractional-Order BISQ Model Open
The fractional-order differential operator describes history dependence and global correlation. In this paper, we use this trait to describe the viscoelastic characteristics of the solid skeleton of a viscoelastic two-phasic porous materia…
View article: Scattering of Magnetoacoustic Waves and Dynamic Stress Concentration around Double Openings in Piezomagnetic Composites
Scattering of Magnetoacoustic Waves and Dynamic Stress Concentration around Double Openings in Piezomagnetic Composites Open
Based on the magnetoacoustic coupled dynamics theory, the wave function expansion method is used to solve the problem of acoustic wave scattering and dynamic stress concentration around the two openings in e-type piezomagnetic composites. …
View article: Topological structure of the space of composition operators on the Hardy space of Dirichlet series
Topological structure of the space of composition operators on the Hardy space of Dirichlet series Open
The aim of this paper is to study when two composition operators on the Hilbert space of Dirichlet series with square summable coefficients belong to the same component or when their difference is compact. As a corollary we show that if a …
View article: A Novel Exact Plate Theory for Bending Vibrations Based on the Partial Differential Operator Theory
A Novel Exact Plate Theory for Bending Vibrations Based on the Partial Differential Operator Theory Open
Thick wall structures are usually applied at a highly reduced frequency. It is crucial to study the refined dynamic modeling of a thick plate, as it is directly related to the dynamic mechanical characteristics of an engineering structure …
View article: Essential norms and Schatten(-Herz) classes of integration operators from Bergman spaces to Hardy spaces
Essential norms and Schatten(-Herz) classes of integration operators from Bergman spaces to Hardy spaces Open
In this paper, we completely characterize the compactness of the Volterra type integration operators Jb acting from weighted Bergman spaces Apa to Hardy spaces Hq for all 0 < p; q < 1. Furthermore, we give some estimates for the essential …
View article: Boundedness of area operators on Bergman spaces
Boundedness of area operators on Bergman spaces Open
We completely characterize the boundedness of the area operators from the Bergman spaces $A^p_α(\mathbb{B}_ n)$ to the Lebesgue spaces $L^q(\mathbb{S}_ n)$ for all $0
View article: Generalized Integration Operators from Weak to Strong Spaces of Vector-valued Analytic Functions
Generalized Integration Operators from Weak to Strong Spaces of Vector-valued Analytic Functions Open
For a fixed nonnegative integer $m$, an analytic map $\varphi$ and an analytic function $\psi$, the generalized integration operator $I^{(m)}_{\varphi,\psi}$ is defined by \[ I^{(m)}_{\varphi,\psi} f(z) = \int_0^z f^{(m)}(\varphi(\zeta)) \…
View article: Constrained characteristic functions, multivariable interpolation, and invariant subspaces
Constrained characteristic functions, multivariable interpolation, and invariant subspaces Open
In this paper, we present a functional model theorem for completely non-coisometric n -tuples of operators in the noncommutative variety $\mathcal{V}_{f,\varphi,\mathcal{I}}(\mathcal{H})$ in terms of constrained characteristic functions. …
View article: Rigidity of Volterra-type integral operators on Hardy spaces of the unit ball
Rigidity of Volterra-type integral operators on Hardy spaces of the unit ball Open
We establish that the Volterra-type integral operator $J_b$ on the Hardy spaces $H^p$ of the unit ball $\mathbb{B}_n$ exhibits a rather strong rigid behavior. More precisely, we show that the compactness, strict singularity and $\ell^p$-si…
View article: Products of Composition, Multiplication and Iterated Differentiation Operators Between Banach Spaces of Holomorphic Functions
Products of Composition, Multiplication and Iterated Differentiation Operators Between Banach Spaces of Holomorphic Functions Open
Let $H(\\mathbb{D})$ denote the space of holomorphic functions on the unit disk $\\mathbb{D}$ of $\\mathbb{C}$, $\\psi,\\varphi \\in H(\\mathbb{D})$, $\\varphi(\\mathbb{D}) \\subset \\mathbb{D}$ and $n \\in \\mathbb{N} \\cup \\{0\\}$. Let …
View article: Volterra type integration operators from Bergman spaces to Hardy spaces
Volterra type integration operators from Bergman spaces to Hardy spaces Open
We completely characterize the boundedness of the Volterra type integration operators $J_b$ acting from the weighted Bergman spaces $A^p_α$ to the Hardy spaces $H^q$ of the unit ball of $\mathbb{C}^n$ for all $0
View article: Difference of Weighted Composition Operators on the Space of Cauchy Integral Transforms
Difference of Weighted Composition Operators on the Space of Cauchy Integral Transforms Open
In this paper, we provide a complete function theoretic characterizations for boundedness and compactness of difference of weighted composition operators from the space of Cauchy integral transforms to logarithmic weighted-type spaces. Sur…
View article: Noncommutative harmonic analysis on semigroups
Noncommutative harmonic analysis on semigroups Open
In this paper we obtain some noncommutative multiplier theorems and maximal inequalities on semigroups. As applications, we obtain the corresponding individual ergodic theorems. Our main results extend some classical results of Stein and C…