Analytic Functions with Real Boundary Values in Smirnov Classes E¿

Lisa de Castro

ISBN 10: 3659473987 / ISBN 13: 9783659473982

Editore: LAP LAMBERT Academic Publishing Nov 2013, 2013

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Neuware -The Smirnov classes E¿, where p > 0, are classes of analytic functions on bounded, n-connected domains in the complex plane. Functions in these classes satisfy a certain growth condition and have a relationship to the more well known classes of functions known as the Hardy classes H¿. This book explores how the geometry of a given domain will determine the existence of non-constant analytic functions in Smirnov classes that possess real boundary values. This is a phenomenon that does not occur among functions in the Hardy classes.Books on Demand GmbH, Überseering 33, 22297 Hamburg 72 pp. Englisch.

Codice articolo 9783659473982

Dati bibliografici

• Titolo: Analytic Functions with Real Boundary Values in Smirnov Classes E¿
• Editore: LAP LAMBERT Academic Publishing Nov 2013
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 3659473987
• ISBN 13: 9783659473982
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 220 L x 150 A x 5 P (millimetri) 220 millimetri di larghezza per 150 millimetri di altezza per 5 millimetri di profondità
• Peso: 125 grammi

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Riassunto

The Smirnov classes Eᴾ, where p > 0, are classes of analytic functions on bounded, n-connected domains in the complex plane. Functions in these classes satisfy a certain growth condition and have a relationship to the more well known classes of functions known as the Hardy classes Hᴾ. This book explores how the geometry of a given domain will determine the existence of non-constant analytic functions in Smirnov classes that possess real boundary values. This is a phenomenon that does not occur among functions in the Hardy classes.