Author : Albrecht Bottcher
Publisher :
ISBN 13 : 9783034889230
Total Pages : 420 pages
Book Rating : 4.8/5 (892 download)
Book Synopsis Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators by : Albrecht Bottcher
Download or read book Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators written by Albrecht Bottcher and published by . This book was released on 1997-09-01 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.