Complex Symmetry of Invertible Composition Operators on Weighted Bergman Spaces
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DOI: 10.1007/s11785-020-01016-z
Abstract: In this article, we study the complex symmetry of composition operators $$C_{\phi }f=f\circ \phi $$ induced on the weighted Bergman spaces $$A^2_{\beta }(\mathbb {D}),$$ by analytic self-maps of the unit disk. One of our main… read more here.
Keywords: bergman spaces; complex symmetry; composition operators; phi ... See more keywords
Operators and multipliers on weighted Bergman spaces
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DOI: 10.1007/s13370-018-0645-6
Abstract: In 1992, Blasco considered a weighted Bergman space using Dini-weight function. He proved that a linear operator T on weighted Bergman space to any Banach space X is bounded if and only if certain one… read more here.
Keywords: space; bergman spaces; multipliers weighted; function ... See more keywords
Hyponormality of Toeplitz operators with polynomial symbols on the weighted Bergman space
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DOI: 10.1007/s40065-017-0170-8
Abstract: This paper gives the complete proof of the Conjecture given by Hazarika and this author jointly which deals with a necessary and sufficient condition for the hyponormality of Toeplitz operator, $$T_\varphi $$Tφ on the weighted… read more here.
Keywords: polynomial symbols; bergman space; hyponormality toeplitz; weighted bergman ... See more keywords
Uniform Approximation of Extremal Functions in Weighted Bergman Spaces
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DOI: 10.1007/s40315-017-0230-2
Abstract: We discuss approximation of extremal functions by polynomials in the weighted Bergman spaces $$A^p_\alpha $$Aαp where $$-1< \alpha < \min (0,p-2)$$-1 read more here.
Keywords: approximation; bergman spaces; extremal functions; uniform approximation ... See more keywords
Sparse domination of weighted composition operators on weighted Bergman spaces
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DOI: 10.1016/j.jfa.2020.108897
Abstract: The purpose of this paper is to study sparse domination estimates of composition operators in the setting of complex function theory. The method originates from proofs of the $A_2$ theorem for Calder\'on-Zygmund operators in harmonic… read more here.
Keywords: sparse domination; bergman spaces; weighted bergman; weighted composition ... See more keywords
The ∂-complex on weighted Bergman spaces on Hermitian manifolds
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DOI: 10.1016/j.jmaa.2020.123994
Abstract: Abstract In this paper, we investigate the ∂-complex on weighted Bergman spaces on Hermitian manifolds satisfying a certain holomorphicity/duality condition. This generalizes the situation of the Segal-Bargmann space in C n , studied earlier by… read more here.
Keywords: complex weighted; bergman spaces; spaces hermitian; weighted bergman ... See more keywords
Compact differences of weighted composition operators on the weighted Bergman spaces
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DOI: 10.1186/s13660-016-1277-8
Abstract: In this paper, we consider the compact differences of weighted composition operators on the standard weighted Bergman spaces. Some necessary and sufficient conditions for the differences of weighted composition operators to be compact are given,… read more here.
Keywords: weighted composition; compact differences; composition operators; differences weighted ... See more keywords
Operators between different weighted Fréchet and (LB)-spaces of analytic functions
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DOI: 10.3906/mat-2101-95
Abstract: We study some classical operators defined on the weighted Bergman Fréchet space Apα+ (resp. weighted Bergman (LB)-space Apα− ) arising as the projective limit (resp. inductive limit) of the standard weighted Bergman spaces into the… read more here.
Keywords: chet space; resp; limit; operators different ... See more keywords