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Titlebook: Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators; Albrecht Böttcher,Yuri I. Karlovich Book 1997 Springer Basel AG 1997 Singula

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发表于 2025-3-21 17:25:12 | 显示全部楼层 |阅读模式
书目名称Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators
编辑Albrecht Böttcher,Yuri I. Karlovich
视频video
丛书名称Progress in Mathematics
图书封面Titlebook: Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators;  Albrecht Böttcher,Yuri I. Karlovich Book 1997 Springer Basel AG 1997 Singula
描述.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..
出版日期Book 1997
关键词Singular integral; differential operator; functional analysis; operator theory; pseudodifferential opera
版次1
doihttps://doi.org/10.1007/978-3-0348-8922-3
isbn_softcover978-3-0348-9828-7
isbn_ebook978-3-0348-8922-3Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightSpringer Basel AG 1997
The information of publication is updating

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发表于 2025-3-21 20:59:07 | 显示全部楼层
AgInSe2: extinction coefficient,ith only one singularity, we establish a criterion for their membership in ..(Γ) in terms of the W transform. It is this criterion which will enable us to identify plenty of oscillating weights as Muckenhoupt weights.
发表于 2025-3-22 02:09:52 | 显示全部楼层
CuAlSe2: extinction coefficient,segments joining the endpoints of each jump. We will show that in the general case these line segments metamorphose into circular arcs, logarithmic double spirals, horns, spiralic horns, and eventually into what we call leaves. The shape of the leaves can be described in terms of the indicator functions.
发表于 2025-3-22 05:20:20 | 显示全部楼层
Book 1997re 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..
发表于 2025-3-22 10:41:59 | 显示全部楼层
Book 1997ators 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.
发表于 2025-3-22 16:39:13 | 显示全部楼层
发表于 2025-3-22 20:38:49 | 显示全部楼层
发表于 2025-3-22 22:02:39 | 显示全部楼层
Boundedness of the Cauchy singular integral,is theorem is difficult and goes beyond the scope of this book. We nevertheless decided to write down a proof, but this proof will only be given in Chapter 5. The purpose of this chapter is to provide the reader with some facts and results that should suffice to understand Chapters 6 to 10 without browsing in Chapter 5.
发表于 2025-3-23 02:39:46 | 显示全部楼层
Carleson curves,In the spectral theory of Toeplitz and singular integral operators, the spirality indices will play a decisive role. We therefore compute the spirality indices for a sufficiently large class of concrete Carleson curves.
发表于 2025-3-23 05:36:48 | 显示全部楼层
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