Results 21 to 30 of about 440 (199)
Weighted Composition Operators from Generalized Weighted Bergman Spaces to Weighted-Type Spaces
Journal of Inequalities and Applications, 2009 Let φ be a holomorphic self-map and let ψ be a holomorphic function on the unit ball B. The boundedness and compactness of the weighted composition operator ψCφ from the generalized weighted Bergman space into a class of ...
Dinggui Gu
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Essential Norms of Stević–Sharma Operators from General Banach Spaces into Zygmund-Type Spaces
Journal of Mathematics, 2022 A Stević–Sharma operator denoted by Tψ1,ψ2,φ is a generalization product of multiplication, differentiation, and composition operators. Using several restrictive terms, we characterize an approximation of the essential norm of the Stević–Sharma operator ...
M. A. Bakhit
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A note on weighted Bergman spaces and the Cesaro Operator [PDF]
Nagoya Mathematical Journal, 2000 Let B denote the unit ball in ℂn, and dV(z) normalized Lebesgue measure on B. For α > -1, define dVα(z) = (1 - \z\2)αdV(z). Let (B) denote the space of holomorhic functions on B, and for 0 < p < ∞, let p(dVα) denote Lp(dVα) ∩ (B). In this note we characterize p(dVα) as those functions in (B) whose images under the action of a certain set of ...
Benke, George, Chang, Der-Chen
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Hyponormal Toeplitz operators on weighted Bergman spaces [PDF]
Integral Transforms and Special Functions, 2021 We consider operators acting on a Hilbert space that can be written as the sum of a shift and a diagonal operator and determine when the operator is hyponormal. The condition is presented in terms of the norm of an explicit block Jacobi matrix. We apply this result to the Toeplitz operator with specific algebraic symbols acting on certain weighted ...
Le, Trieu, Simanek, Brian
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Orthogonal polynomials in weighted Bergman spaces
Journal of Approximation Theory, 2023 Let $w$ be a weight on the unit disk $\mathbb{D}$ having the form \[w(z)=|v(z)|^2\prod_{k=1}^s\left|\frac{z-a_k}{1-z\overline{a}_k}\right|^{m_k}\,,\quad m_k>-2,\ |a_k|<1,\] where $v$ is analytic and free of zeros in $\overline{\mathbb{D}}$, and let $(p_n)_{n=0}^\infty$ be the sequence of polynomials ($p_n$ of degree $n$) orthonormal over $\mathbb{
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On weights which admit the reproducing kernel of Bergman type
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper we consider (1) the weights of integration for which the reproducing kernel of the Bergman type can be defined, i.e., the admissible weights, and (2) the kernels defined by such weights.
Zbigniew Pasternak-Winiarski
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Weighted Sub-Bergman Hilbert spaces in the unit ball of ℂn
Concrete Operators, 2020 In this note, we study defect operators in the case of holomorphic functions of the unit ball of ℂn. These operators are built from weighted Bergman kernel with a holomorphic vector.
Rososzczuk Renata, Symesak Frédéric
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Mathematics, 2021 Let N denote the set of all positive integers and N0=N∪{0}. For m∈N, let Bm={z∈Cm:|z|
Manisha Devi +2 more
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On weighted harmonic Bergman spaces
Demonstratio Mathematica, 2008 AbstractThis paper is devoted to the investigation of the weighted Bergman harmonic ...
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Volterra composition operators from generalized weighted weighted Bergman spaces to µ-Bloch spaces
Journal of Function Spaces and Applications, 2009 Let φ be a holomorphic self-map and g be a fixed holomorphic function on the unit ball B. The boundedness and compactness of the operator Tg,φf(z)=∫01f(φ(tz))ℜg(tz)dtt from the generalized weighted Bergman space into the µ-Bloch space are studied in this
Xiangling Zhu
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