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Theory of Bergman Spaces

  • Haakan Hedenmalm
  • Boris Korenblum
  • Kehe Zhu

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

Table of contents

  1. Front Matter
    Pages i-ix
  2. Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
    Pages 1-27
  3. Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
    Pages 28-51
  4. Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
    Pages 52-97
  5. Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
    Pages 98-135
  6. Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
    Pages 136-175
  7. Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
    Pages 176-189
  8. Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
    Pages 190-215
  9. Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
    Pages 216-241
  10. Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
    Pages 242-273
  11. Back Matter
    Pages 274-289

About this book

Introduction

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.

Keywords

Function Theory Nevanlinna theory Operator theory algebra bounded mean oscillation extrema logarithm

Authors and affiliations

  • Haakan Hedenmalm
    • 1
  • Boris Korenblum
    • 2
  • Kehe Zhu
    • 2
  1. 1.Department of MathematicsLund UniversityLundSweden
  2. 2.Department of MathematicsState University of New York at AlbanyAlbanyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0497-8
  • Copyright Information Springer-Verlag New York, Inc. 2000
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6789-8
  • Online ISBN 978-1-4612-0497-8
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site