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arXiv · 2306.04379

Anisotropic weighted Levin-Cochran-Lee type inequalities on homogeneous Lie groups

Michael Ruzhansky·Anjali Shriwastawa·Bankteshwar Tiwari
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Abstract

In this paper, we first prove the weighted Levin-Cochran-Lee type inequalities on homogeneous Lie groups for arbitrary weights, quasi-norms, and $L^p$-and $L^q$-norms. Then, we derive a sharp weighted inequality involving specific weights given in the form of quasi-balls in homogeneous Lie groups. Finally, we also calculate the sharp constants for the aforementioned inequalities.

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Michael Ruzhansky, Anjali Shriwastawa, Bankteshwar Tiwari. 2023-06-07. Anisotropic weighted Levin-Cochran-Lee type inequalities on homogeneous Lie groups. https://arxiv.org/abs/2306.04379

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