The Resource Isomorphisms between H1 spaces, Paul F.X. Müller
Isomorphisms between H1 spaces, Paul F.X. Müller
Resource Information
The item Isomorphisms between H1 spaces, Paul F.X. Müller represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Isomorphisms between H1 spaces, Paul F.X. Müller represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 xiv, 453 pages
 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
 Isbn
 9780817624316
 Label
 Isomorphisms between H1 spaces
 Title
 Isomorphisms between H1 spaces
 Statement of responsibility
 Paul F.X. Müller
 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
 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
 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
 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/IsomorphismsbetweenH1spacesPaulF.X./Bd6lrZYShxc/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/IsomorphismsbetweenH1spacesPaulF.X./Bd6lrZYShxc/">Isomorphisms between H1 spaces, Paul F.X. Müller</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>