Items related to Analytic Functions with Real Boundary Values in Smirnov...

Analytic Functions with Real Boundary Values in Smirnov Classes Eᴾ - Softcover

De Castro, Lisa

 
9783659473982: Analytic Functions with Real Boundary Values in Smirnov Classes Eᴾ

Synopsis

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.

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