On generalized Toeplitz and little Hankel operators on Bergman spaces
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DOI: 10.1007/s00013-017-1124-2
Abstract: We find a concrete integral formula for the class of generalized Toeplitz operators $$T_a$$Ta in Bergman spaces $$A^p$$Ap, $$1 read more here.
Keywords: generalized toeplitz; bergman spaces; operators bergman; little hankel ... See more keywords
Essential Norms and Schatten(-Herz) Classes of Integration Operators from Bergman Spaces to Hardy Spaces
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DOI: 10.1007/s00025-021-01403-8
Abstract: In this paper, we completely characterize the compactness of the Volterra type integration operators $$J_b$$ acting from weighted Bergman spaces $$A^p_{\alpha }$$ to Hardy spaces $$H^q$$ for all $$0 read more here.
Keywords: essential norms; integration; bergman spaces; hardy spaces ... See more keywords
Hankel operators on exponential Bergman spaces
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DOI: 10.1007/s11425-020-1724-3
Abstract: We completely describe the boundedness and compactness of Hankel operators with general symbols acting on Bergman spaces with exponential type weights. read more here.
Keywords: bergman spaces; hankel operators; exponential bergman; operators exponential ... See more keywords
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
Complex symmetric weighted composition operators on Bergman spaces and Lebesgue spaces
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DOI: 10.1007/s13324-022-00651-3
Abstract: In the paper, we investigate weighted composition operators on Bergman spaces of a half-plane. We characterize weighted composition operators which are hermitian and those which are complex symmetric with respect to a family of conjugations.… read more here.
Keywords: composition operators; complex symmetric; bergman spaces; weighted composition ... 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
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
Conditional Carleson Measures and Related Operators on Bergman Spaces
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DOI: 10.1007/s41980-018-0180-0
Abstract: In this paper, first we define generalized Carleson measure. Then we consider a special case of it, named conditional Carleson measure on the Bergman spaces. After that, we give a characterization of conditional Carleson measures… read more here.
Keywords: bergman spaces; measures related; operators bergman; conditional carleson ... See more keywords
Compact linear combination of composition operators on Bergman spaces
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DOI: 10.1016/j.jfa.2019.108393
Abstract: Abstract Motivated by the question of Shapiro and Sundberg raised in 1990, study on linear combinations of composition operators has been a topic of growing interest. In this paper, we completely characterize the compactness of… read more here.
Keywords: bergman spaces; linear combination; combination composition; composition ... 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
Compact differences of composition operators on large weighted Bergman spaces
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.07.020
Abstract: Abstract While there have been extensive studies regarding the theory of composition operators in standard Bergman spaces, there have not been many results pertaining to large Bergman spaces due to a lack of useful tools.… read more here.
Keywords: operators large; compact differences; bergman spaces; composition operators ... See more keywords