Accepted Paper
Inserted: 13 sep 2013
Last Updated: 19 dec 2014
Journal: Journal of Geometric Analysis
Year: 2014
Doi: 10.1007/s12220-014-9537-7
Abstract:
We prove higher summability and regularity of $\Gamma(f)$ for functions $f$ in spaces satisfying the Bakry-Èmery condition $BE(K,\infty)$.
As a byproduct, we obtain various equivalent weak formulations of $BE(K,N)$ and we prove the Local-to-Global property of the $RCD^*(K,N)$ condition in locally compact metric measure spaces $(X,d,m)$, without assuming a priori the non-branching condition on the metric space.
Tags:
GeMeThNES
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