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

Murai Takafumi

ISBN 10: 3540190910 / ISBN 13: 9783540190912

Editore: Springer, 1988

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pp. 144 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Codice articolo 7110936

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Titolo: A Real Variable Method for the Cauchy ...

Casa editrice: Springer

Data di pubblicazione: 1988

Legatura: Brossura

Condizione: New

Descrizione articolo

Riassunto:

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.

Contenuti:

The calderón commutator (8 proofs of its boundedness).- A real variable method for the cauchy transform on graphs.- Analytic capacities of cranks.