Critical Hardy inequality on the half-space via the harmonic transplantation
Analysis of PDEs
2022-01-07 v2 Functional Analysis
Abstract
We prove a critical Hardy inequality on the half-space by using the harmonic transplantation. Also we give an improvement of the subcritical Hardy inequality on the half-space, which converges to the critical Hardy inequality. Sobolev type inequalities are also discussed.
Keywords
Cite
@article{arxiv.2201.01593,
title = {Critical Hardy inequality on the half-space via the harmonic transplantation},
author = {Megumi Sano and Futoshi Takahashi},
journal= {arXiv preprint arXiv:2201.01593},
year = {2022}
}
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42 pages