Bounded Analytic Functions
-12 %

Bounded Analytic Functions

 Previously published in hardcover
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ISBN-13:
9781441922168
Einband:
Previously published in hardcover
Erscheinungsdatum:
19.11.2010
Seiten:
476
Autor:
John Garnett
Gewicht:
682 g
Format:
229x152x25 mm
Sprache:
Englisch
Beschreibung:

This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of the past two decades or so. The book covers a wide range of topics in analysis and has well-organized with detailed proofs.
InhaltsangabePreliminaries.- H_P Spaces.- Conjugate Functions.- Some Extremal Problems.- Some Uniform Algebra.- Bounded Mean Oscillation.- Interpolating Sequences.- The Corona Construction.- Douglas Algebras.- Interpolating Sequences and Maximal Ideals.- Bibliography.- Index.
Preliminaries.- Hp Spaces.- Conjugate Functions.- Some Extremal Problems.- Some Uniform Algebra.- Bounded Mean Oscillation.- Interpolating Sequences.- The Corona Construction.- Douglas Algebras.- Interpolating Sequences and Maximal Ideals.
This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of the past two decades or so. The last seven of the ten chapters are devoted in the main to these recent developments. The motif of the theory of Hardy spaces is the interplay between real, complex, and abstract analysis. While paying proper attention to each of the three aspects, the author has underscored the effectiveness of the methods coming from real analysis, many of them developed as part of a program to extend the theory to Euclidean spaces, where the complex methods are not available.