Characterizations of operator-valued Hardy spaces and applications to harmonic analysis on quantum tori
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Characterizations of operator-valued Hardy spaces and applications to harmonic analysis on quantum tori |
| Type de publication | Journal Article |
| Year of Publication | 2016 |
| Auteurs | Xia R, Xiong X, Xu QH |
| Journal | ADVANCES IN MATHEMATICS |
| Volume | 291 |
| Pagination | 183-227 |
| Date Published | MAR 19 |
| Type of Article | Article |
| ISSN | 0001-8708 |
| Mots-clés | BMO, Calderon-Zygmund operators, Carleson measures, characterizations, Noncommutative L-p-spaces, Operator-valued Hardy spaces, Poisson integral, Quantum tori, square functions |
| Résumé | This paper studies the operator-valued Hardy spaces introduced and studied by Tao Mei. Our principal result shows that the Poisson kernel in Mei's definition of these spaces can be replaced by any reasonable test function. As an application, we get a general characterization of Hardy spaces on quantum tori. The latter characterization plays a key role in our recent study of Triebel-Lizorkin spaces on quantum tori. (C) 2016 Elsevier Inc. All rights reserved. |
| DOI | 10.1016/j.aim.2015.12.023 |