Xia, R., Xiong, X. and Xu, Q. (2016) Characterizations of operator-valued Hardy spaces and applications to harmonic analysis on quantum tori. Advances in Mathematics, 291, pp. 183-227. (doi: 10.1016/j.aim.2015.12.023)
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Abstract
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.
| Item Type: | Articles |
|---|---|
| Additional Information: | Funding: ANR-2011-BS01-008-01, NSFC grant (Nos. 11271292 and 11301401) |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Xia, Dr Runlian |
| Authors: | Xia, R., Xiong, X., and Xu, Q. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Advances in Mathematics |
| Publisher: | Elsevier |
| ISSN: | 0001-8708 |
| ISSN (Online): | 1090-2082 |
| Published Online: | 04 February 2016 |
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