| Title:
|
Note on duality of weighted multi-parameter Triebel-Lizorkin spaces (English) |
| Author:
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Ding, Wei |
| Author:
|
Chen, Jiao |
| Author:
|
Niu, Yaoming |
| Language:
|
English |
| Journal:
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Czechoslovak Mathematical Journal |
| ISSN:
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0011-4642 (print) |
| ISSN:
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1572-9141 (online) |
| Volume:
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69 |
| Issue:
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3 |
| Year:
|
2019 |
| Pages:
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763-779 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study the duality theory of the weighted multi-parameter Triebel-Lizorkin spaces $\dot F^{\alpha ,q}_{p}(\omega ;\mathbb {R}^{n_{1}}\times \mathbb {R}^{n_{2}})$. This space has been introduced and the result $$(\dot F^{\alpha ,q}_{p}(\omega ;\mathbb {R}^{n_{1}}\times \mathbb {R}^{n_{2}}))^{\ast }= {\rm CMO}^{-\alpha ,q'}_{p}(\omega ;\mathbb {R}^{n_{1}}\times \mathbb {R}^{n_{2}})$$ for $0<p\leq 1$ has been proved in Ding, Zhu (2017). In this paper, for $1<p<\infty $, $0<q<\infty $ we establish its dual space $\dot H^{\alpha ,q}_{p}(\omega ;\mathbb {R}^{n_{1}}\times \mathbb {R}^{n_{2}})$. (English) |
| Keyword:
|
Triebel-Lizorkin space |
| Keyword:
|
duality |
| Keyword:
|
weighted multi-parameter |
| MSC:
|
42B25 |
| MSC:
|
42B35 |
| idZBL:
|
Zbl 07088815 |
| idMR:
|
MR3989277 |
| DOI:
|
10.21136/CMJ.2019.0509-17 |
| . |
| Date available:
|
2019-07-24T11:18:35Z |
| Last updated:
|
2021-10-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147788 |
| . |
| Reference:
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