| Description |
1 online resource (xiv, 453 pages) |
| Series |
Monografie matematyczne ; new ser., v. 66 |
|
Monografie matematyczne ; new ser., v. 66.
|
| 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 |
| 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 |
| Bibliography |
Includes bibliographical references and index |
| Subject |
Haar system (Mathematics)
|
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Martingales (Mathematics)
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Isomorphisms (Mathematics)
|
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MATHEMATICS -- Transformations.
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Martingales (Mathematics)
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Isomorphisms (Mathematics)
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Haar system (Mathematics)
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Martingalas (Matemáticas)
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Isomorfismos (Matemáticas)
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Haar system (Mathematics)
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Isomorphisms (Mathematics)
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Martingales (Mathematics)
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Haar-Raum
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Martingal
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Isomorphismus
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Meromorfe functies.
|
| Form |
Electronic book
|
| LC no. |
2005045209 |
| ISBN |
0817624317 |
|
9780817624316 |
|
3764324317 |
|
9783764324315 |
|
3764373458 |
|
9783764373450 |
|
