Article
| 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: | 1572-9141 (online) |
| Volume: | 72 |
| Issue: | 3 |
| Year: | 2022 |
| Pages: | 709-734 |
| Summary lang: | English |
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| Category: | math |
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| 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 |
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| Date available: | 2022-08-22T08:18:30Z |
| Last updated: | 2022-12-27 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/150612 |
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