Results 21 to 30 of about 1,404 (243)
Journal of Function Spaces, 2018 We compute upper and lower bounds for essential norm of difference of composition operators acting from weighted Bergman spaces to Bloch-type spaces.
Ram Krishan +2 more
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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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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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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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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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THE RADIAL DERIVATIVES ON WEIGHTED BERGMAN SPACES
Communications of the Korean Mathematical Society, 2003 Summary: We consider weighted Bergman spaces and radial derivatives on the spaces. We also prove that for each element \(f\) in \(B^{p,r}\), there is a unique \(\widetilde{f}\) in \(B^{p,r}\) such that \(f\) is the radial derivative of \(\widetilde{f}\) and for each \(f \in \mathcal{B}^{r}(i)\), \(f\) is the radial derivative of some element of ...
Kang, Si Ho, Kim, Ja Young
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