A Real Variable Method for the Cauchy Transform, and Analytic Capacity

Author/creator Murai, Takafumi Author
Format Electronic
Publication InfoNew York : Springer
Descriptionx, 134 p. ill
Supplemental ContentFull text available from Springer Books
Supplemental ContentFull text available from SpringerLINK Lecture Notes in Mathematics

SeriesLecture Notes in Mathematics Ser. 1307
Summary Annotation 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 Calderón 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.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
ISBN9783540391050
ISBN3540391053 (E-Book) Active Record
Standard identifier# 9783540391050
Stock number10.1007/BFb0078078 00024965

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