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

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委派

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.

Champion

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.

Proponent

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..

滑動

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.

puzzle

puzzle

lambaste

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.

小故事

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.

critic