Journal
JOURNAL OF GEOMETRIC ANALYSIS
Volume 26, Issue 1, Pages 24-56Publisher
SPRINGER
DOI: 10.1007/s12220-014-9537-7
Keywords
Bakry-Emery curvature bounds; Dirichlet forms; CD (K, N) spaces; Optimal transport
Categories
Funding
- ERC ADG GeMeThNES
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We prove higher summability and regularity of Gamma(f) for functions f in spaces satisfying the Bakry-Emery condition BE (K, infinity). 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.
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