Article
| Title: | Riesz potentials and Sobolev-type inequalities in Orlicz-Morrey spaces of an integral form (English) |
| Author: | Ohno, Takao |
| Author: | Shimomura, Tetsu |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 73 |
| Issue: | 1 |
| Year: | 2023 |
| Pages: | 263-276 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Our aim is to give Sobolev-type inequalities for Riesz potentials of functions in Orlicz-Morrey spaces of an integral form over non-doubling metric measure spaces as an extension of T. Ohno, T. Shimomura (2022). Our results are new even for the doubling metric measure spaces. (English) |
| Keyword: | Riesz potential |
| Keyword: | Sobolev's inequality |
| Keyword: | Orlicz-Morrey space |
| Keyword: | metric measure space |
| Keyword: | non-doubling measure |
| MSC: | 46E30 |
| MSC: | 46E35 |
| idZBL: | Zbl 07655767 |
| idMR: | MR4541101 |
| DOI: | 10.21136/CMJ.2022.0149-22 |
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| Date available: | 2023-02-03T11:14:53Z |
| Last updated: | 2023-09-13 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151516 |
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