Analytic Functions with Real Boundary Values in Smirnov Classes E?

Lisa De Castro

ISBN 10: 3659473987 / ISBN 13: 9783659473982

Verlag: LAP Lambert Academic Publishing, 2013

Beschreibung

Print on Demand.

Bestandsnummer des Verkäufers 402354344

Bibliografische Details

• Titel: Analytic Functions with Real Boundary Values in Smirnov Classes E?
• Verlag: LAP Lambert Academic Publishing
• Erscheinungsjahr: 2013
• Sprache: Englisch
• ISBN-10: 3659473987
• ISBN-13: 9783659473982
• Einband: Softcover
• Zustand: New

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Inhaltsangabe

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.