Trace Principle for Riesz Potentials on Herz-Type Spaces and Applications
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929270442426368 |
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| author | Bhat, M. Ashraf Kosuru, G. Sankara Raju |
| author_facet | Bhat, M. Ashraf Kosuru, G. Sankara Raju |
| contents | We establish trace inequalities for Riesz potentials on Herz-type spaces and discuss the optimality of conditions imposed on specific parameters. We also present some applications in the form of Sobolev-type inequalities, including the Gagliardo-Nirenberg-Sobolev inequality and the fractional integration theorem in the Herz space setting. In addition, we obtain a Sobolev embedding theorem for Herz-type Sobolev spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05929 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Trace Principle for Riesz Potentials on Herz-Type Spaces and Applications Bhat, M. Ashraf Kosuru, G. Sankara Raju Functional Analysis 31C15, 26A33, 42B35, 46E35 We establish trace inequalities for Riesz potentials on Herz-type spaces and discuss the optimality of conditions imposed on specific parameters. We also present some applications in the form of Sobolev-type inequalities, including the Gagliardo-Nirenberg-Sobolev inequality and the fractional integration theorem in the Herz space setting. In addition, we obtain a Sobolev embedding theorem for Herz-type Sobolev spaces. |
| title | Trace Principle for Riesz Potentials on Herz-Type Spaces and Applications |
| topic | Functional Analysis 31C15, 26A33, 42B35, 46E35 |
| url | https://arxiv.org/abs/2403.05929 |