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Isomorphisms Between H¹ Spaces

Isomorphisms Between H¹ Spaces

Hardcover

Series: Monografie Matematyczne, Book 66

General MathematicsProbability & Statistics

ISBN10: 3764324317
ISBN13: 9783764324315
Publisher: Springer Nature
Published: Apr 20 2005
Pages: 458
Weight: 2.10
Height: 1.06 Width: 6.69 Depth: 9.61
Language: English

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. 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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General Mathematics