Progress in Mathematics

Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators

Authors: Böttcher, Albrecht, Karlovich, Yuri I.

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About this book

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.

Table of contents (10 chapters)

  • Carleson curves

    Böttcher, Albrecht (et al.)

    Pages 1-26

  • Muckenhoupt weights

    Böttcher, Albrecht (et al.)

    Pages 27-70

  • Interaction between curve and weight

    Böttcher, Albrecht (et al.)

    Pages 71-115

  • Boundedness of the Cauchy singular integral

    Böttcher, Albrecht (et al.)

    Pages 117-144

  • Weighted norm inequalities

    Böttcher, Albrecht (et al.)

    Pages 145-201

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-0348-8922-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-7643-5796-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-3-0348-9828-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators
Authors
Series Title
Progress in Mathematics
Series Volume
154
Copyright
1997
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-8922-3
DOI
10.1007/978-3-0348-8922-3
Hardcover ISBN
978-3-7643-5796-2
Softcover ISBN
978-3-0348-9828-7
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XV, 400
Topics