Submitted Paper
Inserted: 22 nov 2016
Last Updated: 9 nov 2018
Year: 2018
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 due to Minerbe stated for Riemannian manifolds with non-negative Ricci curvature and a suitable reverse doubling condition. 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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