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arXiv · 2501.04433

Levin-Cochran-Lee inequalities and best constants on homogeneous groups

Michael Ruzhansky·Markos Fisseha Yimer
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Abstract

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.

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Michael Ruzhansky, Markos Fisseha Yimer. 2025-01-08. Levin-Cochran-Lee inequalities and best constants on homogeneous groups. https://arxiv.org/abs/2501.04433

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