Overview
- Authors:
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Haakan Hedenmalm
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Department of Mathematics, Lund University, Lund, Sweden
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Boris Korenblum
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Department of Mathematics, State University of New York at Albany, Albany, USA
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Kehe Zhu
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Department of Mathematics, State University of New York at Albany, Albany, USA
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About this book
Preliminary Text. Do not use. 15 years ago the function theory and operator theory connected with the Hardy spaces was well understood (zeros; factorization; interpolation; invariant subspaces; Toeplitz and Hankel operators, etc.). None of the techniques that led to all the information about Hardy spaces worked on their close relatives the Bergman spaces. Most mathematicians who worked in the intersection of function theory and operator theory thought that progress on the Bergman spaces was unlikely. Now the situation has completely changed. Today there are rich theories describing the Bergman spaces and their operators. Research interest and research activity in the area has been high for several years. A book is badly needed on Bergman spaces and the three authors are the right people to write it.
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Table of contents (9 chapters)
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- Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
Pages 1-27
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- Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
Pages 28-51
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- Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
Pages 52-97
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- Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
Pages 98-135
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- Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
Pages 136-175
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- Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
Pages 176-189
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- Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
Pages 190-215
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- Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
Pages 216-241
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- Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
Pages 242-273
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Back Matter
Pages 274-289
Reviews
“Each chapter ends with a section called Notes and another called Exercises and Further Results. … It would be quite suitable for graduate students in the field.” (Lou Zengjian, zbMATH 0955.32003, 2022)