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Analytic Functions with Real Boundary Values in Smirnov Classes E¿ - Softcover

De Castro, Lisa

 
9783659473982: Analytic Functions with Real Boundary Values in Smirnov Classes E¿

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Dr. Lisa De Castro is currently a Visiting Assistant Professor of Mathematics at Florida Southern College. She received her Ph.D. from the University of South Florida. In addition to teaching and conducting research, Dr. De Castro enjoys sewing and folding origami.

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