Isomorphisms Between H1 Spaces
(Sprache: Englisch)
This book gives a thorough and self contained presentation of H¹, its known isomorphic invariants and a complete classification of H¹ on spaces of homogeneous type. The necessary background is developed from scratch. This includes a detailed discussion of...
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Klappentext zu „Isomorphisms Between H1 Spaces “
This book gives a thorough and self contained presentation of H¹, its known isomorphic invariants and a complete classification of H¹ 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. Complete proofs are given for the classical martingale inequalities, 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.
Inhaltsverzeichnis zu „Isomorphisms Between H1 Spaces “
- Preface- 1. The Haar System: Basic Facts and Classical results
- 2. Projections, Isomorphisms, and Interpolation
- 3. Combinatorics of Colored Dyadic Intervals
- 4. Martingale H^1 Spaces
- 5. Isomorphic Invariants for H^1
- 6. Atomic H^1 Spaces
- Bibliography
- List of Symbols
- Index.
Bibliographische Angaben
- Autor: Paul F.X. Müller
- 2005, 453 Seiten, Maße: 17,5 x 25 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 3764324317
- ISBN-13: 9783764324315
- Erscheinungsdatum: 20.04.2005
Sprache:
Englisch
Rezension zu „Isomorphisms Between H1 Spaces “
"Ein bedeutendes, in Inhalt und Form vorzügliches Standardwerk über faszinierende, tiefliegende mathematische Probleme vor, zu deren Lösung viele der besten Mathematiker beigetragen haben." (Monatshefte für Mathematik)
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