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 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
- Language
- eng
- Extent
- 1 online resource (xiv, 453 pages).
- Contents
-
- The Haar System: Basic Facts and Classical Results
- Projections, Isomorphisms and Interpolation
- Combinatorics of Colored Dyadic Intervals
- Martingale H1 Spaces
- Isomorphic Invariants for H1
- Atomic H1 Spaces
- Isbn
- 9783764373450
- Label
- Isomorphisms between H1 spaces
- Title
- Isomorphisms between H1 spaces
- Statement of responsibility
- Paul F.X. Müller
- Subject
-
- Haar system (Mathematics)
- Haar system (Mathematics)
- Haar system (Mathematics)
- Haar-Raum
- 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 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
- Cataloging source
- COO
- 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
-
- dictionaries
- bibliography
- Series statement
- Monografie matematyczne
- Series volume
- new ser., v. 66
- http://library.link/vocab/subjectName
-
- Haar system (Mathematics)
- Martingales (Mathematics)
- Isomorphisms (Mathematics)
- MATHEMATICS
- Martingales (Mathematics)
- Isomorphisms (Mathematics)
- Haar system (Mathematics)
- Haar system (Mathematics)
- Isomorphisms (Mathematics)
- Martingales (Mathematics)
- Haar-Raum
- Martingal
- Isomorphismus
- Meromorfe functies
- Label
- Isomorphisms between H1 spaces, Paul F.X. Müller
- Bibliography note
- Includes bibliographical references and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- The Haar System: Basic Facts and Classical Results -- Projections, Isomorphisms and Interpolation -- Combinatorics of Colored Dyadic Intervals -- Martingale H1 Spaces -- Isomorphic Invariants for H1 -- Atomic H1 Spaces
- Control code
- 62762257
- Dimensions
- unknown
- Extent
- 1 online resource (xiv, 453 pages).
- Form of item
- online
- Isbn
- 9783764373450
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/b137684.
- http://library.link/vocab/ext/overdrive/overdriveId
- 978-3-7643-2431-5
- Specific material designation
- remote
- System control number
- (OCoLC)62762257
- Label
- Isomorphisms between H1 spaces, Paul F.X. Müller
- Bibliography note
- Includes bibliographical references and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- The Haar System: Basic Facts and Classical Results -- Projections, Isomorphisms and Interpolation -- Combinatorics of Colored Dyadic Intervals -- Martingale H1 Spaces -- Isomorphic Invariants for H1 -- Atomic H1 Spaces
- Control code
- 62762257
- Dimensions
- unknown
- Extent
- 1 online resource (xiv, 453 pages).
- Form of item
- online
- Isbn
- 9783764373450
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/b137684.
- http://library.link/vocab/ext/overdrive/overdriveId
- 978-3-7643-2431-5
- Specific material designation
- remote
- System control number
- (OCoLC)62762257
Subject
- Haar system (Mathematics)
- Haar system (Mathematics)
- Haar system (Mathematics)
- Haar-Raum
- 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)
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Isomorphisms-between-H1-spaces-Paul-F.X./C_qj08iABqc/" 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/Isomorphisms-between-H1-spaces-Paul-F.X./C_qj08iABqc/">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>
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Isomorphisms-between-H1-spaces-Paul-F.X./C_qj08iABqc/" 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/Isomorphisms-between-H1-spaces-Paul-F.X./C_qj08iABqc/">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>
