| Title:
|
Equivalent quasi-norms and atomic decomposition of weak Triebel-Lizorkin spaces (English) |
| Author:
|
Li, Wenchang |
| Author:
|
Xu, Jingshi |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
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67 |
| Issue:
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2 |
| Year:
|
2017 |
| Pages:
|
497-513 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Recently, the weak Triebel-Lizorkin space was introduced by Grafakos and He, which includes the standard Triebel-Lizorkin space as a subset. The latter has a wide applications in aspects of analysis. In this paper, the authors firstly give equivalent quasi-norms of weak Triebel-Lizorkin spaces in terms of Peetre's maximal functions. As an application of those equivalent quasi-norms, an atomic decomposition of weak Triebel-Lizorkin spaces is given. (English) |
| Keyword:
|
weak Lebesgue space |
| Keyword:
|
Triebel-Lizorkin space |
| Keyword:
|
equivalent norm |
| Keyword:
|
maximal function |
| Keyword:
|
atom |
| MSC:
|
42B25 |
| MSC:
|
42B35 |
| MSC:
|
46E35 |
| idZBL:
|
Zbl 06738533 |
| idMR:
|
MR3661055 |
| DOI:
|
10.21136/CMJ.2017.0037-16 |
| . |
| Date available:
|
2017-06-01T14:31:03Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146770 |
| . |
| Reference:
|
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