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Theory of Bergman Spaces

  • Textbook
  • © 2000

Overview

Part of the book series: Graduate Texts in Mathematics (GTM, volume 199)

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Table of contents (9 chapters)

Keywords

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.

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)

Authors and Affiliations

  • Department of Mathematics, Lund University, Lund, Sweden

    Haakan Hedenmalm

  • Department of Mathematics, State University of New York at Albany, Albany, USA

    Boris Korenblum, Kehe Zhu

Bibliographic Information

  • Book Title: Theory of Bergman Spaces

  • Authors: Haakan Hedenmalm, Boris Korenblum, Kehe Zhu

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-0497-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2000

  • Hardcover ISBN: 978-0-387-98791-0Published: 19 May 2000

  • Softcover ISBN: 978-1-4612-6789-8Published: 04 October 2012

  • eBook ISBN: 978-1-4612-0497-8Published: 06 December 2012

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: IX, 289

  • Topics: Analysis

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