Sobolev spaces and Poincaré inequalities on the Vicsek fractal
Nyckelord:
Vicsek set, Sobolev spaces, Poincaré inequalities, p-energies, real interpolationAbstract
In this paper we prove that several natural approaches to Sobolev spaces coincide on the Vicsek fractal. More precisely, we show that the metric approach of Korevaar-Schoen, the approach by limit of discreteReferera så här
Baudoin, F., & Chen, L. (2022). Sobolev spaces and Poincaré inequalities on the Vicsek fractal. Annales Fennici Mathematici, 48(1), 3–26. https://doi.org/10.54330/afm.122168
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