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arXiv · 2311.13211

Fractional Caffarelli-Kohn-Nirenberg type inequalities on the Heisenberg group

Rama Rawat·Haripada Roy·Prosenjit Roy
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Abstract

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].

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Rama Rawat, Haripada Roy, Prosenjit Roy. 2024-03-26. Fractional Caffarelli-Kohn-Nirenberg type inequalities on the Heisenberg group. https://arxiv.org/abs/2311.13211

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