Article
| Title: | Carleson measures for weighted harmonic mixed norm spaces on bounded domains in $\mathbb {R}^n$ (English) |
| Author: | Savković, Ivana |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 72 |
| Issue: | 4 |
| Year: | 2022 |
| Pages: | 1205-1216 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We study weighted mixed norm spaces of harmonic functions defined on smoothly bounded domains in $\mathbb {R}^n$. Our principal result is a characterization of Carleson measures for these spaces. First, we obtain an equivalence of norms on these spaces. Then we give a necessary and sufficient condition for the embedding of the weighted harmonic mixed norm space into the corresponding mixed norm space. (English) |
| Keyword: | harmonic function |
| Keyword: | mixed norm space |
| Keyword: | Carleson measure |
| MSC: | 31B05 |
| MSC: | 42B35 |
| idZBL: | Zbl 07655795 |
| idMR: | MR4517608 |
| DOI: | 10.21136/CMJ.2022.0018-22 |
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| Date available: | 2022-11-28T11:44:21Z |
| Last updated: | 2023-04-11 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151142 |
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| Reference: | [11] Keshavarzi, H.: Characterization of forward, vanishing and reverse Bergman Carleson measures using sparse domination.Available at https://arxiv.org/abs/2110.08926v1 (2021), 23 pages. |
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