Published Paper
Inserted: 22 nov 2016
Last Updated: 24 feb 2022
Journal: ESAIM: COCV
Volume: 27
Year: 2021
Abstract:
In this note, we prove global weighted Sobolev inequalities on non-compact CD(0,N) spaces satisfying a suitable growth condition, extending to possibly non-smooth and non-Riemannian structures a previous result by V. Minerbe stated for Riemannian manifolds with non-negative Ricci curvature. We use this result in the context of RCD(0,N) spaces to get a uniform bound of the corresponding weighted heat kernel via a weighted Nash inequality.
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