Isomorphisms Between H¹ Spaces

2005. Buch. xiv, 458 S.: Bibliographien. Hardcover
Birkhäuser ISBN 978-3-7643-2431-5
Format (B x L): 17 x 24,4 cm
Gewicht: 991 g
In englischer Sprache
Das Werk ist Teil der Reihe:
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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Study of dyadic H^1, its isomorphic invariants and its position within the two classes of martingale and atomic H^1 spaces, and simultaneously, a detailed analysis of the Haar system Only basic knowledge in real, complex and functional analysis required, and some probability theory