| 書(shū)目名稱(chēng) | Isomorphisms Between H1 Spaces | | 編輯 | Paul F.X. Müller | | 視頻video | http://file.papertrans.cn/476/475766/475766.mp4 | | 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 | | 叢書(shū)名稱(chēng) | Monografie Matematyczne | | 圖書(shū)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 | | 關(guān)鍵詞 | 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 | Birkh?user Basel 2005 |
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