Results 21 to 30 of about 5,191 (168)

Gain of Regularity in Extension Problem on Convex Domains

Journal of Function Spaces, 2015
We investigate the extension problem from higher codimensional linear subvarieties on convex domains of finite type.
M. Jasiczak
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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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The Zero Product of Toeplitz Operators on the 2-Analytic Weighted Bergman Space

Journal of Function Spaces
Two-analytic weighted Bergman space is a nonanalytic function space which is closely related to analytic functions. In this paper, we mainly discuss the zero product problem for Toeplitz operators on the 2-analytic weighted Bergman space.
Xia Wang, Yanyue Shi, Bo Zhang, Changguo Wei   +3 more
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Hyponormality of Toeplitz operators with non-harmonic symbols on the Bergman spaces

Journal of Inequalities and Applications, 2021
In this paper, we present some necessary and sufficient conditions for the hyponormality of Toeplitz operator T φ $T_{\varphi }$ on the Bergman space A 2 ( D ) $A^{2}(\mathbb{D})$ with non-harmonic symbols under certain assumptions.
Sumin Kim, Jongrak Lee
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Normal Toeplitz Operators on the Bergman Space

Mathematics, 2020
In this paper, we give a characterization of normality of Toeplitz operator Tφ on the Bergman space A2(D). First, we state basic properties for Toeplitz operator Tφ on A2(D). Next, we consider the normal Toeplitz operator Tφ on A2(D) in terms of harmonic
Sumin Kim, Jongrak Lee
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Multipliers on Vector Valued Bergman Spaces [PDF]

Canadian Journal of Mathematics, 2002
AbstractLet X be a complex Banach space and let Bp(X) denote the vector-valued Bergman space on the unit disc for 1 ≤ p < ∞. A sequence (Tn)n of bounded operators between two Banach spaces X and Y defines a multiplier between Bp(X) and Bq(Y) (resp. Bp(X) and lq(Y)) if for any function we have that belongs to Bq(Y) (resp.
Blasco, O., Arregui, J.L.
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Duality of the Nonreflexive Bergman Space of the Upper Half Plane and Composition Groups

European Journal of Mathematical Analysis
We identify the predual of the nonreflexive Bergman space of the upper half plane with the little Bloch space of the upper half plane consisting of those functions vanishing at point i.
E. O. Gori, J. O. Bonyo
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Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball

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
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Fourier representations in Bergman spaces

Journal of Mathematical Analysis and Applications, 2019
We consider a class of domains, generalizing the upper half-plane, and admitting rotational, translational and scaling symmetries, analogous to the half-plane. We prove Paley-Wiener type representations of functions in Bergman spaces of such domains with respect to each of these three groups of symmetries.
Debraj Chakrabarti, Pranav Upadrashta
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Commuting Separately Quasihomogeneous Small Hankel Operators on Pluriharmonic Bergman Space

Journal of Function Spaces, 2018
We study (semi)commutativity of small Hankel operators with separately quasihomogeneous symbols on the pluriharmonic Bergman space of the unit ball. Some product problems are also concerned.
Qi Wu, Chuntao Qin, Yong Chen, Yile Zhao
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