Results 31 to 40 of about 1,668 (232)
Riesz's Functions in Weighted Hardy and Bergman Spaces [PDF]
Canadian Journal of Mathematics, 1996 AbstractLet μ be a finite positive Borel measure on the closed unit disc . For each a in , put where ƒ ranges over all analytic polynomials with f(a) = 1. This upper semicontinuous function S(a) is called a Riesz's function and studied in detail. Moreover several applications are given to weighted Bergman and Hardy spaces.
Nakazi, T., Yamada, M.
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On Similarity and Reducing Subspaces of the n-Shift plus Certain Weighted Volterra Operator
Journal of Function Spaces, 2017 Let g(z) be an n-degree polynomial (n≥2). Inspired by Sarason’s result, we introduce the operator T1 defined by the multiplication operator Mg plus the weighted Volterra operator Vg on the Bergman space.
Yucheng Li, Hao Chen, Wenhua Lan
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The product-type operators from weighted Bergman space to weighted-type space on the unit ball
四川大学学报. 自然科学版, 2023 The metrical boundedness and metrical compactness of a class of operators from the weighted Bergman space to the weighted-type space are characterized.
HUANG Cheng-Shi, JIANG Zhi-Jie
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Path components of the space of (weighted) composition operators on Bergman spaces
, 2021 The topological structure of the set of (weighted) composition operators has been studied on various function spaces on the unit disc such as Hardy spaces, the space of bounded holomorphic functions, weighted Banach spaces of holomorphic functions with ...
Tien, Pham Trong +2 more
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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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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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Toeplitz operators on the weighted Bergman spaces of quotient domains
, 2023 Let $G$ be a finite pseudoreflection group and $\Omega\subseteq \mathbb C^d$ be a bounded domain which is a $G$-space. We establish identities involving Toeplitz operators on the weighted Bergman spaces of $\Omega$ and $\Omega/G$ using invariant theory ...
Ghosh, Gargi +3 more
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Closures of Bergman-Besov spaces in the weighted bloch spaces on the unit ball [PDF]
, 2021 In this paper, via invertible radial differential operators, we characterize the closures of the Bergman–Besov spaces in the weighted Bloch spaces on the unit ball. The results of this paper generalize some previous results of Wen Xu and Ruhan Zhao.
Yılmaz, Faruk +2 more
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