Isomorphisms Between H1 Spaces
Description
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.
Keywords
MathematicsMathematical AnalysisFunctional AnalysisProbability & StatisticsCalculusComplex Analysis
2005Book
Author(s)P. F. X. Müller
PublisherSpringer Science & Business Media
ISBN9783764324315
LanguageEnglish
