Ebook: Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators
- Tags: Operator Theory
- Series: Progress in Mathematics 154
- Year: 1997
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages i-xv
Carleson curves....Pages 1-26
Muckenhoupt weights....Pages 27-70
Interaction between curve and weight....Pages 71-115
Boundedness of the Cauchy singular integral....Pages 117-144
Weighted norm inequalities....Pages 145-201
General properties of Toeplitz operators....Pages 203-233
Piecewise continuous symbols....Pages 235-266
Banach algebras....Pages 267-299
Composed curves....Pages 301-336
Further results....Pages 337-380
Back Matter....Pages 381-397
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.
Content:
Front Matter....Pages i-xv
Carleson curves....Pages 1-26
Muckenhoupt weights....Pages 27-70
Interaction between curve and weight....Pages 71-115
Boundedness of the Cauchy singular integral....Pages 117-144
Weighted norm inequalities....Pages 145-201
General properties of Toeplitz operators....Pages 203-233
Piecewise continuous symbols....Pages 235-266
Banach algebras....Pages 267-299
Composed curves....Pages 301-336
Further results....Pages 337-380
Back Matter....Pages 381-397
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