Müller Isomorphisms Between H¹ Spaces
1. Auflage 2006
ISBN: 978-3-7643-7345-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 66, 458 Seiten, eBook
Reihe: Monografie Maematyczne
ISBN: 978-3-7643-7345-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
The Haar System: Basic Facts and Classical Results.- Projections, Isomorphisms and Interpolation.- Combinatorics of Colored Dyadic Intervals.- Martingale H1 Spaces.- Isomorphic Invariants for H1.- Atomic H1 Spaces.
