Fractional Caffarelli-Kohn-Nirenberg type inequalities on the Heisenberg group
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910383656140800 |
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| author | Rawat, Rama Roy, Haripada Roy, Prosenjit |
| author_facet | Rawat, Rama Roy, Haripada Roy, Prosenjit |
| contents | The aim of this work is to establish some cases of the Caffarelli-Kohn-Nirenberg inequalities on the Heisenberg group for the fractional Sobolev spaces. Here we work with the fractional Sobolev spaces as given by Adimurthi and Mallick in [1]. Our inequalities also give an improvement on the range of indices for the Hardy type inequality established in [1]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_13211 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fractional Caffarelli-Kohn-Nirenberg type inequalities on the Heisenberg group Rawat, Rama Roy, Haripada Roy, Prosenjit Analysis of PDEs 46E35, 26D15, 43A80, 49J52 The aim of this work is to establish some cases of the Caffarelli-Kohn-Nirenberg inequalities on the Heisenberg group for the fractional Sobolev spaces. Here we work with the fractional Sobolev spaces as given by Adimurthi and Mallick in [1]. Our inequalities also give an improvement on the range of indices for the Hardy type inequality established in [1]. |
| title | Fractional Caffarelli-Kohn-Nirenberg type inequalities on the Heisenberg group |
| topic | Analysis of PDEs 46E35, 26D15, 43A80, 49J52 |
| url | https://arxiv.org/abs/2311.13211 |