Korevaar-Schoen spaces on Sierpiński carpets
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911769075646464 |
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| author | Yang, Meng |
| author_facet | Yang, Meng |
| contents | We prove that certain $L^p$-regularity functional inequality holds on \emph{generalized Sierpiński 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_09900 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Korevaar-Schoen spaces on Sierpiński carpets Yang, Meng Functional Analysis Analysis of PDEs Metric Geometry We prove that certain $L^p$-regularity functional inequality holds on \emph{generalized Sierpiński 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. |
| title | Korevaar-Schoen spaces on Sierpiński carpets |
| topic | Functional Analysis Analysis of PDEs Metric Geometry |
| url | https://arxiv.org/abs/2306.09900 |