Levin-Cochran-Lee inequalities and best constants on homogeneous groups
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917887164284928 |
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| author | Ruzhansky, Michael Yimer, Markos Fisseha |
| author_facet | Ruzhansky, Michael Yimer, Markos Fisseha |
| contents | In this paper, we apply a direct method instead of a limit approach, for proving the Levin-Cochran-Lee inequalities. First, we state and prove Levin-Cochran-Lee type inequalities on a homogeneous group $\mathbb{G}$ with parameters $0<p\leq q<\infty$. Furthermore, for the case $p=q$, we prove the sharp inequalities with power weights and derive some other new inequalities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04433 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Levin-Cochran-Lee inequalities and best constants on homogeneous groups Ruzhansky, Michael Yimer, Markos Fisseha Functional Analysis 26D10(Primary), 22E30, 26D15(Secondary) G.1.9 In this paper, we apply a direct method instead of a limit approach, for proving the Levin-Cochran-Lee inequalities. First, we state and prove Levin-Cochran-Lee type inequalities on a homogeneous group $\mathbb{G}$ with parameters $0<p\leq q<\infty$. Furthermore, for the case $p=q$, we prove the sharp inequalities with power weights and derive some other new inequalities. |
| title | Levin-Cochran-Lee inequalities and best constants on homogeneous groups |
| topic | Functional Analysis 26D10(Primary), 22E30, 26D15(Secondary) G.1.9 |
| url | https://arxiv.org/abs/2501.04433 |