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arXiv · 2202.05873

A note on best constants for Weighted Integral Hardy inequalities on homogeneous groups

Michael Ruzhansky·Anjali Shriwastawa·Bankteshwar Tiwari
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Abstract

The main aim of this note is to prove sharp weighted integral Hardy inequality and conjugate integral Hardy inequality on homogeneous Lie groups with any quasi-norm for the range $1<p\leq q<\infty.$ We also calculate the precise value of sharp constants in respective inequalities, improving the result of $[19]$ in the case of homogeneous groups.

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Michael Ruzhansky, Anjali Shriwastawa, Bankteshwar Tiwari. 2022-02-11. A note on best constants for Weighted Integral Hardy inequalities on homogeneous groups. https://arxiv.org/abs/2202.05873

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