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Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators

  • Albrecht Böttcher
  • Yuri I. Karlovich

Part of the Progress in Mathematics book series (PM, volume 154)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Albrecht Böttcher, Yuri I. Karlovich
    Pages 1-26
  3. Albrecht Böttcher, Yuri I. Karlovich
    Pages 27-70
  4. Albrecht Böttcher, Yuri I. Karlovich
    Pages 71-115
  5. Albrecht Böttcher, Yuri I. Karlovich
    Pages 117-144
  6. Albrecht Böttcher, Yuri I. Karlovich
    Pages 145-201
  7. Albrecht Böttcher, Yuri I. Karlovich
    Pages 203-233
  8. Albrecht Böttcher, Yuri I. Karlovich
    Pages 235-266
  9. Albrecht Böttcher, Yuri I. Karlovich
    Pages 267-299
  10. Albrecht Böttcher, Yuri I. Karlovich
    Pages 301-336
  11. Albrecht Böttcher, Yuri I. Karlovich
    Pages 337-380
  12. Back Matter
    Pages 381-397

About this book

Introduction

Award-winning monograph of the Ferran Sunyer i Balaguer Prize 1997.

This book is a self-contained exposition of the spectral theory of Toeplitz operators with piecewise continuous symbols and singular integral operators with piecewise continuous coefficients. It includes an introduction to Carleson curves, Muckenhoupt weights, weighted norm inequalities, local principles, Wiener-Hopf factorization, and Banach algebras generated by idempotents. Some basic phenomena in the field and the techniques for treating them came to be understood only in recent years and are comprehensively presented here for the first time.
The material has been polished in an effort to make advanced topics accessible to a broad readership. The book is addressed to a wide audience of students and mathematicians interested in real and complex analysis, functional analysis and operator theory.

Keywords

Singular integral differential operator functional analysis operator theory pseudodifferential operators real and complex analysis spectral theory

Authors and affiliations

  • Albrecht Böttcher
    • 1
  • Yuri I. Karlovich
    • 2
  1. 1.Fakultät für MathematikTU ChemnitzChemnitzGermany
  2. 2.Marine Hydrophysical Institute Hydroacoustic DepartmentUkrainian Academy of SciencesOdessaUkraine

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-8922-3
  • Copyright Information Birkhäuser Verlag 1997
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-0348-9828-7
  • Online ISBN 978-3-0348-8922-3
  • Series Print ISSN 0743-1643
  • Series Online ISSN 2296-505X
  • Buy this book on publisher's site