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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
Bergman Spaces and Related Topics in Complex Analysis
Language: en
Pages: 232
Authors: Alexander A. Borichev
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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This volume grew out of a conference in honor of Boris Korenblum on the occasion of his 80th birthday, held in Barcelona, Spain, November 20-22, 2003. The book
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