| 书目名称 | Isomorphisms Between H¹ Spaces | | 编辑 | Paul F.X. Müller | | 视频video | | | 概述 | Study of dyadic H^1, its isomorphic invariants and its position within the two classes of martingale and atomic H^1 spaces, and simultaneously, a detailed analysis of the Haar system.Only basic knowle | | 丛书名称 | Monografie Matematyczne | | 图书封面 |  | | 描述 | .This book presents a thorough and self-contained 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, 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^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 c | | 出版日期 | Book 2005 | | 关键词 | Funktionalanalysis; Harmonische Analysis; Kombinatorik; Martingale; Singular integral; Stochastische Anal | | 版次 | 1 | | doi | https://doi.org/10.1007/b137684 | | isbn_ebook | 978-3-7643-7345-0Series ISSN 0077-0507 Series E-ISSN 2297-0274 | | issn_series | 0077-0507 | | copyright | Birkhäuser Basel 2005 |
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发表于 2025-3-21 16:18:45
