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The Resource Isomorphisms between H1 spaces, Paul F.X. Müller

Isomorphisms between H1 spaces, Paul F.X. Müller

Label
Isomorphisms between H1 spaces
Title
Isomorphisms between H1 spaces
Statement of responsibility
Paul F.X. Müller
Creator
Subject
Language
eng
Summary
  • "This book presents a thorough and self-contained 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, Calderon-Zygmund singular integrals). Complete proofs are given for the classical martingale inequalities of C. Fefferman, Burkholder, and Khinchine-Kahane, 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
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Müller, P. F. X.
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
bibliography
Series statement
Monografie matematyczne
Series volume
new ser., v. 66
http://library.link/vocab/subjectName
  • Haar system (Mathematics)
  • Martingales (Mathematics)
  • Isomorphisms (Mathematics)
Label
Isomorphisms between H1 spaces, Paul F.X. Müller
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages [433]-447) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 5.
  • Isomorphic invariants for H[superscript 1]
  • 6.
  • Atomic H[superscript 1] spaces
  • 1.
  • The Haar system : basic facts and classical results
  • 2.
  • Projections, isomorphisms and interpolation
  • 3.
  • Combinatories of colored dyadic intervals
  • 4.
  • Martingale H[superscript 1] spaces
Control code
58604805
Dimensions
24 cm
Extent
xiv, 453 pages
Isbn
9780817624316
Isbn Type
(alk. paper)
Lccn
2005045209
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Label
Isomorphisms between H1 spaces, Paul F.X. Müller
Publication
Bibliography note
Includes bibliographical references (pages [433]-447) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 5.
  • Isomorphic invariants for H[superscript 1]
  • 6.
  • Atomic H[superscript 1] spaces
  • 1.
  • The Haar system : basic facts and classical results
  • 2.
  • Projections, isomorphisms and interpolation
  • 3.
  • Combinatories of colored dyadic intervals
  • 4.
  • Martingale H[superscript 1] spaces
Control code
58604805
Dimensions
24 cm
Extent
xiv, 453 pages
Isbn
9780817624316
Isbn Type
(alk. paper)
Lccn
2005045209
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n

Library Locations

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      38.944377 -92.326537
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