Paperback. 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. This research monograph studies the Cauchy transform on curves with the object of formulating a precise estimate of analytic capacity. The final and principal chapter uses the method of the second chapter to compare analytic capacity with integral-geometric quantities. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Titel: A Real Variable Method for the Cauchy Transform, and Analytic Capacity (Paperback)
Verlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
Erscheinungsjahr: 1988
Sprache: Englisch
ISBN-10: 3540190910
ISBN-13: 9783540190912
Einband: Paperback
Zustand: new

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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 Calder�n 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.

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