Article
| Title: | Complex interpolation of function spaces with general weights (English) |
| Author: | Drihem, Douadi |
| Language: | English |
| Journal: | Commentationes Mathematicae Universitatis Carolinae |
| ISSN: | 0010-2628 (print) |
| ISSN: | 1213-7243 (online) |
| Volume: | 64 |
| Issue: | 3 |
| Year: | 2023 |
| Pages: | 289-320 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We present the complex interpolation of Besov and Triebel--Lizorkin spaces with generalized smoothness. In some particular cases these function spaces are just weighted Besov and Triebel--Lizorkin spaces. As a corollary of our results, we obtain the complex interpolation between the weighted Triebel--Lizorkin spaces $\dot{F}_{p_{0},q_{0}}^{s_{0}} (\omega _{0})$ and $\dot{F}_{\infty ,q_{1}}^{s_{1}}(\omega _{1}) $ with suitable assumptions on the parameters $ s_{0},s_{1},p_{0}, q_{0}$ and $q_{1}$, and the pair of weights $(\omega _{0},\omega _{1})$. (English) |
| Keyword: | Besov space |
| Keyword: | Triebel--Lizorkin space |
| Keyword: | complex interpolation |
| Keyword: | Muckenhoupt class |
| MSC: | 26B35 |
| MSC: | 42B25 |
| MSC: | 42B35 |
| MSC: | 46E35 |
| DOI: | 10.14712/1213-7243.2024.003 |
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| Date available: | 2024-03-18T10:40:59Z |
| Last updated: | 2024-03-18 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152300 |
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