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A real variable method for the Cauchy transform and analytic capacity / / Takafumi Murai



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Autore: Murai Takafumi <1948-> Visualizza persona
Titolo: A real variable method for the Cauchy transform and analytic capacity / / Takafumi Murai Visualizza cluster
Pubblicazione: Berlin, Germany : , : Springer, , [1988]
©1988
Edizione: 1st ed. 1988.
Descrizione fisica: 1 online resource (X, 134 p.)
Disciplina: 515
Soggetto topico: Analytic functions
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di contenuto: The calderón commutator (8 proofs of its boundedness) -- A real variable method for the cauchy transform on graphs -- Analytic capacities of cranks.
Sommario/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.
Titolo autorizzato: Real variable method for the Cauchy transform, and analytic capacity  Visualizza cluster
ISBN: 3-540-39105-3
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996466509503316
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Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1307