On the Bakry–Émery Condition, the Gradient Estimates and the Local-to-Global Property of RCD∗(K,N) Metric Measure Spaces View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2016-01

AUTHORS

Luigi Ambrosio, Andrea Mondino, Giuseppe Savaré

ABSTRACT

We prove higher summability and regularity of Γ(f) for functions f in spaces satisfying the Bakry–Émery condition BE(K,∞). 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. More... »

PAGES

24-56

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s12220-014-9537-7

DOI

http://dx.doi.org/10.1007/s12220-014-9537-7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1027744448


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