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

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 trans...

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Bibliografski detalji
Glavni autor: Murai, Takafumi, 1948-
Format: Livre numérique
Jezik:Anglais
Izdano: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serija:Lecture notes in mathematics 1307
Teme:
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Edition sous un autre format:• A real variable method for the Cauchy transform and analytic capacity, Takafumi Murai, 1988, Berlin, Springer, 1 volume (VI-133 pages), Lecture notes in mathematics, 0-387-19091-0
• A Real Variable Method for the Cauchy Transform, and Analytic Capacity, Texte imprimé, 9783662169223
Opis
Sažetak: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.
Opis djela:Archives Springer e-books (Licence nationale)
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ISBN:9783540391050 (PDF)
ISSN:1617-9692
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