The Stein-Weiss inequality in variable exponent Morrey spaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911351917510656 |
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| author | Cruz-Uribe, David Ghorbanalizadeh, Arash Suragan, Durvudkhan |
| author_facet | Cruz-Uribe, David Ghorbanalizadeh, Arash Suragan, Durvudkhan |
| contents | In this paper we prove the Stein-Weiss inequality in variable exponent Morrey spaces over a bounded domain. Our work extends earlier results in the variable exponent Lebesgue and Morrey settings, and utilizes new proof techniques applicable to Morrey spaces. We build on the foundational paper by Almeida, Hasanov, and Samko, which introduced Morrey spaces of variable exponents. As an application of our main result, we prove Poincaré-type inequalities using the approach of a recent paper by the first and third authors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_02235 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Stein-Weiss inequality in variable exponent Morrey spaces Cruz-Uribe, David Ghorbanalizadeh, Arash Suragan, Durvudkhan Classical Analysis and ODEs 26D10, 35A23, 39B62, 42B35 In this paper we prove the Stein-Weiss inequality in variable exponent Morrey spaces over a bounded domain. Our work extends earlier results in the variable exponent Lebesgue and Morrey settings, and utilizes new proof techniques applicable to Morrey spaces. We build on the foundational paper by Almeida, Hasanov, and Samko, which introduced Morrey spaces of variable exponents. As an application of our main result, we prove Poincaré-type inequalities using the approach of a recent paper by the first and third authors. |
| title | The Stein-Weiss inequality in variable exponent Morrey spaces |
| topic | Classical Analysis and ODEs 26D10, 35A23, 39B62, 42B35 |
| url | https://arxiv.org/abs/2510.02235 |