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Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators

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  • © 1997

Overview

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

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Table of contents (10 chapters)

Keywords

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.

Authors and Affiliations

  • Fakultät für Mathematik, TU Chemnitz, Chemnitz, Germany

    Albrecht Böttcher

  • Marine Hydrophysical Institute Hydroacoustic Department, Ukrainian Academy of Sciences, Odessa, Ukraine

    Yuri I. Karlovich

Bibliographic Information

  • Book Title: Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators

  • Authors: Albrecht Böttcher, Yuri I. Karlovich

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8922-3

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1997

  • Hardcover ISBN: 978-3-7643-5796-2Published: 01 September 1997

  • Softcover ISBN: 978-3-0348-9828-7Published: 04 October 2012

  • eBook ISBN: 978-3-0348-8922-3Published: 06 December 2012

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: XV, 400

  • Topics: Operator Theory

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