| Title:
|
Weighted multi-parameter mixed Hardy spaces and their applications (English) |
| Author:
|
Ding, Wei |
| Author:
|
Xu, Yun |
| Author:
|
Zhu, Yueping |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
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1572-9141 (online) |
| Volume:
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72 |
| Issue:
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3 |
| Year:
|
2022 |
| Pages:
|
709-734 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Applying discrete Calderón's identity, we study weighted multi-parameter mixed Hardy space $H^{p}_{\rm mix}(\omega ,\mathbb {R}^{n_{1}}\times \mathbb {R}^{n_{2}})$. Different from classical multi-parameter Hardy space, this space has characteristics of local Hardy space and Hardy space in different directions, respectively. As applications, we discuss the boundedness on $H^{p}_{\rm mix}(\omega ,\mathbb {R}^{n_{1}}\times \mathbb {R}^{n_{2}})$ of operators in mixed Journé's class. (English) |
| Keyword:
|
weight |
| Keyword:
|
multi-parameter |
| Keyword:
|
mixed Hardy spaces |
| Keyword:
|
singular integral operator |
| MSC:
|
42B20 |
| MSC:
|
42B25 |
| MSC:
|
42B30 |
| MSC:
|
42B35 |
| idZBL:
|
Zbl 07584097 |
| idMR:
|
MR4467937 |
| DOI:
|
10.21136/CMJ.2022.0115-21 |
| . |
| Date available:
|
2022-08-22T08:18:30Z |
| Last updated:
|
2024-10-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/150612 |
| . |
| Reference:
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