期刊全称 | A Real Variable Method for the Cauchy Transform, and Analytic Capacity | 影响因子2023 | Takafumi Murai | 视频video | | 学科分类 | Lecture Notes in Mathematics | 图书封面 |  | 影响因子 | 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. | Pindex | Book 1988 |
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