Isomorphisms between H1 spaces
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The work Isomorphisms between H1 spaces represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Isomorphisms between H1 spaces
Resource Information
The work Isomorphisms between H1 spaces represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Isomorphisms between H1 spaces
 Statement of responsibility
 Paul F.X. Müller
 Subject

 Haar system (Mathematics)
 Haar system (Mathematics)
 Haar system (Mathematics)
 HaarRaum
 Isomorphisms (Mathematics)
 Isomorphisms (Mathematics)
 Isomorphisms (Mathematics)
 Isomorphisms (Mathematics)
 Isomorphismus
 MATHEMATICS  Transformations
 Martingal
 Martingales (Mathematics)
 Martingales (Mathematics)
 Martingales (Mathematics)
 Martingales (Mathematics)
 Meromorfe functies
 Haar system (Mathematics)
 Language
 eng
 Summary
 "This book presents a thorough and selfcontained presentation of H[superscript 1] and its known isomorphic invariants, such as the uniform approximation property, the dimension conjecture, and dichotomies for the complemented subspaces." "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 (averaging projections, rearrangement operators, paraproducts, CalderonZygmund singular integrals). Complete proofs are given for the classical martingale inequalities of C. Fefferman, Burkholder, and KhinchineKahane, and for large deviation inequalities. Complex interpolation, analytic families of operators, and the Calderon product of Banach lattices are treated in the context of H[superscript 1] spaces." "Throughout the book, special attention is given to the combinatorial methods developed in the field, particularly J. Bourgain's proof of the dimension conjecture, L. Carleson's biorthogonal system in H[superscript 1], T. Figuiel's integral representation, W.B. Johnson's factorization of operators, B. Maurey's isomorphism, and P. Jones' proof of the uniform approximation property. An entire chapter is devoted to the study of combinatorics of colored dyadic intervals."Jacket
 Cataloging source
 COO
 Dewey number
 511.3/26
 Index
 index present
 LC call number
 QA404.5
 LC item number
 .M85 2005
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Monografie matematyczne
 Series volume
 new ser., v. 66
Context
Context of Isomorphisms between H1 spacesWork of
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