Best constants for Hardy inequalities in Triebel--Lizorkin spaces
Analysis of PDEs
2025-12-23 v1 Functional Analysis
Abstract
We find sharp constants in fractional Hardy inequalities for weighted Triebel--Lizorkin seminorms on the whole space and half-spaces. Our results generalize recently obtained weighted fractional Hardy inequalities for Gagliardo seminorms, but are new even for the unweighted case.
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Cite
@article{arxiv.2512.18688,
title = {Best constants for Hardy inequalities in Triebel--Lizorkin spaces},
author = {Michał Kijaczko},
journal= {arXiv preprint arXiv:2512.18688},
year = {2025}
}
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16 pages