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Isomorphisms Between H1 Spaces

✍ Scribed by Paul F.X. Müller

Publisher
Birkhäuser
Year
2005
Tongue
German
Leaves
464
Series
Monografie Matematyczne
Edition
1
Category
Library
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✦ Synopsis

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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Isomorphisms between H 1 Spaces
📁 Isomorphisms between H 1 Spaces
✍ Paul F.X. Müller (auth.) 📂 Library 📅 2005 🏛 Birkhäuser Basel 🌐 English

<p><P>This book presents a thorough and self-contained presentation of H¹ and its known isomorphic invariants, such as the uniform approximation property, the dimension conjecture, and dichotomies for the complemented subspaces. <BR>The necessary background is developed from scratch. This includes a

Isomorphisms Between H1 Spaces (Monograf
📁 Isomorphisms Between H1 Spaces (Monografie Matematyczne)
✍ Paul F.X. Müller 📂 Library 📅 2005 🌐 English

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