ENGLISH

Isomorphisms Between H1 Spaces (Monografie Matematyczne)

By Paul F.X. Müller

Book information

Year
2005
ISBN
9783764324315, 9783764373450, 3764324317
LCC
QA404.5 .M85 2005
Open Library ID
OL19292153M
Language
english
Format
PDF
Filesize
2 MB (2538626 bytes)
Edition
1
Pages
453\464
Scanned
yes
Time added
2011-06-04 13:46:07

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.

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