A real variable method for the Cauchy transform, and analytic capacity
Author(s)
Bibliographic Information
A real variable method for the Cauchy transform, and analytic capacity
（Lecture notes in mathematics, 1307）
Springer-Verlag, c1988
- : gw
- : us
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Library & Science Information Center, Osaka Prefecture University
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
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Description and Table of Contents
Description
This research monograph studies the Cauchy transform on curves with the object of formulating a precise estimate of analytic capacity. The note is divided into three chapters. The first chapter is a review of the Calderon commutator. In the second chapter, a real variable method for the Cauchy transform is given using only the rising sun lemma. The final and principal chapter uses the method of the second chapter to compare analytic capacity with integral-geometric quantities. The prerequisites for reading this book are basic knowledge of singular integrals and function theory. It addresses specialists and graduate students in function theory and in fluid dynamics.
Table of Contents
The calderon commutator (8 proofs of its boundedness).- A real variable method for the cauchy transform on graphs.- Analytic capacities of cranks.
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