Korevaar-Schoen spaces on Sierpi\'nski carpets

Meng Yang

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arXiv · 2306.09900

Korevaar-Schoen spaces on Sierpi\'nski carpets

Meng Yang

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Abstract

We prove that certain $L^p$-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.

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Meng Yang. 2023-06-16. Korevaar-Schoen spaces on Sierpi\'nski carpets. https://arxiv.org/abs/2306.09900

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