Results 11 to 20 of about 1,089 (168)
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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Reproducing Kernels of Weight Square-Summable Sequences Hilbert Spaces
Annales Mathematicae Silesianae, 2019 In this paper we will introduce the concept of weighted reproducing kernel of l2(ℂ) space, in similiar way as it is done in case of weighted reproducing kernel of Bergman space.
Żynda Tomasz Łukasz
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Toeplitz Operators on Weighted Bergman Spaces [PDF]
Journal of Function Spaces and Applications, 2013 We characterize the boundedness and compactness of a Toeplitz-type operator on weighted Bergman spaces satisfying the Bekollé-Bonami condition in terms of the Berezin transform.
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Composition Operators from the Weighted Bergman Space to the 𝑛th Weighted Spaces on the Unit Disc
Discrete Dynamics in Nature and Society, 2009 The boundedness of the composition operator from the weighted Bergman space to the recently introduced by the author, the 𝑛th weighted space on the unit disc, is characterized.
Stevo Stević
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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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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 weighted harmonic Bergman spaces
Demonstratio Mathematica, 2008 AbstractThis paper is devoted to the investigation of the weighted Bergman harmonic ...
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Product-type operators from weighted Bergman spaces to Bloch-Orlicz spaces
四川大学学报. 自然科学版, 2020 By constructing some suitable test functions in weighted Bergman space, the boundedness and compactness of the product-type operators from the weighted Bergman space to the Bloch-Orlicz space are characterized in terms of the symbol functions in this ...
Chen Zhi, Jiang Zhi-Jie
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On the dual space of a weighted Bergman space on the unit ball of Cn
International Journal of Mathematics and Mathematical Sciences, 1988 The weighted Bergman space Aαp(Bn ...
J. S. Choa, H. O. Kim
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