Results 1 to 10 of about 1,089 (168)
Hyponormality on a Weighted Bergman Space [PDF]
Journal of Function Spaces, 2020 A bounded Hilbert space operator T is hyponormal if T∗T−TT∗ is a positive operator. We consider the hyponormality of Toeplitz operators on a weighted Bergman space.
Houcine Sadraoui +3 more
doaj +2 more sources
2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Space of the Unit Ball
AxiomsThere are two aims in this paper. One is to completely characterize complex symmetric and 2-complex symmetric weighted composition operators induced by some special symbols on the weighted Bergman space of the unit ball, and the other is to fully ...
Hui-Ling Jin, Zhi-Jie Jiang
doaj +3 more sources
Compact generalized weighted composition operators on the Bergman space [PDF]
Opuscula Mathematica, 2017 We characterize the compactness of the generalized weighted composition operators acting on the Bergman space.
Qinghua Hu, Xiangling Zhu
doaj +1 more source
Topological Structures of Derivative Weighted Composition Operators on the Bergman Space
Journal of Function Spaces, 2015 We characterize the difference of derivative weighted composition operators on the Bergman space in the unit disk and determine when linear-fractional derivative weighted composition operators belong to the same component of the space of derivative ...
Ce-Zhong Tong, Cheng Yuan, Ze-Hua Zhou
doaj +1 more source
Multiplication Operator with BMO Symbols and Berezin Transform
Journal of Function Spaces, 2015 We discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball.
Xue Feng +4 more
doaj +1 more source
Abstract and Applied Analysis, 2010 The boundedness and compactness of weighted iterated radial composition operators from the mixed-norm space to the weighted-type space and the little weighted-type space on the unit ball are characterized here.
Stevo Stević
doaj +1 more source
Weighted reproducing kernels in Bergman spaces.
Michigan Mathematical Journal, 1994 A major inspiration for this paper is the factorization theory developed by \textit{H. Hedenmalm} [J. Reine Angew. Math. 422, 45-68 (1991; Zbl 0734.30040)] for the standard Bergman space \(A^2\), and later generalized to the Bergman space \(A^2\) by \textit{P. Duren}, \textit{D. Khavinson}, \textit{H. S. Shapiro} and \textit{C. Sundberg} [Pac. J. Math.
MacGregor, T. H., Stessin, M. I.
openaire +2 more sources
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.
openaire +2 more sources
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
doaj +1 more source
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
doaj