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 Oklahoma 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 Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Isomorphisms Between H1 Spaces
 Statement of responsibility
 by Paul F.X. Müller
 Language

 eng
 eng
 Summary
 This book presents a thorough and selfcontained presentation of H1 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^p spaces. Througout 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 H1, T. Figiel'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
 Dewey number
 511.3
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 3FXys4qwl3c
 Language note
 English
 LC call number
 QA299.6433
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement

 Monografie matematyczne
 Monografie Matematyczne,
 Series volume

 new ser., v. 66
 66
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