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Theory of Bergman Spaces
Language: en
Pages: 299
Authors: Hakan Hedenmalm
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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Fifteen years ago, most mathematicians who worked in the intersection of function theory and operator theory thought that progress on the Bergman spaces was unl
Bergman Spaces
Language: en
Pages: 330
Authors: Peter Duren
Categories: Mathematics
Type: BOOK - Published: 2024-05-14 - Publisher: American Mathematical Society

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The modern subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory. It has much in common with Ha
Operator Theory in Function Spaces
Language: en
Pages: 368
Authors: Kehe Zhu
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

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This book covers Toeplitz operators, Hankel operators, and composition operators on both the Bergman space and the Hardy space. The setting is the unit disk and
Analysis on Fock Spaces
Language: en
Pages: 350
Authors: Kehe Zhu
Categories: Mathematics
Type: BOOK - Published: 2012-05-26 - Publisher: Springer Science & Business Media

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Several natural Lp spaces of analytic functions have been widely studied in the past few decades, including Hardy spaces, Bergman spaces, and Fock spaces. The t
Weighted Bergman Spaces Induced by Rapidly Increasing Weights
Language: en
Pages: 136
Authors: Jose Angel Pelaez
Categories: Mathematics
Type: BOOK - Published: 2014-01-08 - Publisher: American Mathematical Soc.

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This monograph is devoted to the study of the weighted Bergman space $A^p_\omega$ of the unit disc $\mathbb{D}$ that is induced by a radial continuous weight $\