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Isomorphisms Between H(1) Spaces : Monografie Matematyczne - Paul Muller

Isomorphisms Between H(1) Spaces

Monografie Matematyczne

Hardcover Published: 20th April 2005
ISBN: 9783764324315
Number Of Pages: 458

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This book gives a thorough and self contained presentation of H its known isomorphic invariants and a complete classification of H on spaces of homogeneous type. The necessary background is developed from scratch. This includes a detailed discussion of the Haar system, together with the operators that can be built from it (averaging projections, rearrangement operators, paraproducts, Calderon-Zygmund singular integrals). Complete proofs are given for the classical martingale inequalities of C. Fefferman, Burkholder, and Khinchine-Kahane, and for large deviation inequalities. Complex interpolation is treated. Througout, special attention is given to the combinatorial methods developed in the field. An entire chapter is devoted to study the "Combinatorics of coloured dyadic Intervals".

"Ein bedeutendes, in Inhalt und Form vorzugliches Standardwerk uber faszinierende, tiefliegende mathematische Probleme vor, zu deren Loesung viele der besten Mathematiker beigetragen haben." (Monatshefte fur Mathematik)

Preface
The Haar System: Basic Facts and Classical results
Projections, Isomorphisms, and Interpolation
Combinatorics of Colored Dyadic Intervals
Martingale H^1 Spaces
Isomorphic Invariants for H^1
Atomic H^1 Spaces
Bibliography
List of Symbols
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783764324315
ISBN-10: 3764324317
Series: Monografie Matematyczne
Audience: Adult Education
Format: Hardcover
Language: English
Number Of Pages: 458
Published: 20th April 2005
Publisher: Birkhauser Verlag AG
Country of Publication: CH
Dimensions (cm): 24.4 x 17.0  x 2.69
Weight (kg): 0.99