Fractional Caffarelli-Kohn-Nirenberg type inequalities on the Heisenberg group
| Autor: | Rawat, Rama, Roy, Haripada, Roy, Prosenjit |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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]. Comment: 24 pages |
| Databáze: | arXiv |
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