Bounded Analytic Functions

John B. Garnett - Collection Graduate Texts in Mathematics

480 pages, parution le 18/12/2006

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Résumé

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.

Written for: Graduate mathematics students and mathematicians

L'auteur - John B. Garnett

John B. Garnett : University of California, Los Angeles

Sommaire

Preliminaries
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

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	PAPIER
Éditeur(s)	Springer
Auteur(s)	John B. Garnett
Collection	Graduate Texts in Mathematics
Parution	18/12/2006
Nb. de pages	480
Format	16 x 24
Couverture	Relié
Poids	790g
Intérieur	Noir et Blanc
EAN13	9780387336213
ISBN13	978-0-387-33621-3