Best constants for Hardy inequalities in Triebel--Lizorkin spaces

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1. Verfasser: Kijaczko, Michał
Format: Preprint
Veröffentlicht: 2025
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author Kijaczko, Michał
author_facet Kijaczko, Michał
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_18688
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Best constants for Hardy inequalities in Triebel--Lizorkin spaces
Kijaczko, Michał
Analysis of PDEs
Functional Analysis
46E35, 39B72, 26D15
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.
title Best constants for Hardy inequalities in Triebel--Lizorkin spaces
topic Analysis of PDEs
Functional Analysis
46E35, 39B72, 26D15
url https://arxiv.org/abs/2512.18688