Korevaar-Schoen-Sobolev spaces and critical exponents in metric measure spaces
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866909323435704320 |
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| author | Baudoin, Fabrice |
| author_facet | Baudoin, Fabrice |
| contents | We present developments in the theory of Korevaar-Schoen-Sobolev spaces on metric measure spaces. While this theory coincides with those of Cheeger and Shanmugalingam if the space is doubling and satisfies a Poincaré inequality, it offers new perspectives in the context of fractals for which the approach by weak upper gradients is inadequate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_12191 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Korevaar-Schoen-Sobolev spaces and critical exponents in metric measure spaces Baudoin, Fabrice Metric Geometry Functional Analysis We present developments in the theory of Korevaar-Schoen-Sobolev spaces on metric measure spaces. While this theory coincides with those of Cheeger and Shanmugalingam if the space is doubling and satisfies a Poincaré inequality, it offers new perspectives in the context of fractals for which the approach by weak upper gradients is inadequate. |
| title | Korevaar-Schoen-Sobolev spaces and critical exponents in metric measure spaces |
| topic | Metric Geometry Functional Analysis |
| url | https://arxiv.org/abs/2207.12191 |