Korevaar-Schoen spaces on Sierpi\'nski carpets
Functional Analysis
2024-02-02 v2 Analysis of PDEs
Metric Geometry
Abstract
We prove that certain -regularity functional inequality holds on \emph{generalized Sierpi\'nski carpets}. This gives an affirmative answer to an open question raised by Fabrice Baudoin. Our technique originates from an old idea of Alf Jonsson in 1996.
Keywords
Cite
@article{arxiv.2306.09900,
title = {Korevaar-Schoen spaces on Sierpi\'nski carpets},
author = {Meng Yang},
journal= {arXiv preprint arXiv:2306.09900},
year = {2024}
}
Comments
14 pages; Abstract rewritten; references added and updated