Analytic Functions with Real Boundary Values in Smirnov Classes E¿ - de Castro, Lisa
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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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Produktbeschreibung
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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Autorenporträt
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.