We prove higher summability and regularity of for functions in spaces satisfying the Bakry–Émery condition. As a byproduct, we prove the Local-to-Global property of the Bakry-Émery condition in locally compact metric measure spaces without assuming a priori the non-branching condition on the metric space.
On the Bakry–Émery Condition, the Gradient Estimates and the Local-to-Global Property of RCD*(K,N) Metric Measure Spaces
SAVARE', GIUSEPPE
2016-01-01
Abstract
We prove higher summability and regularity of for functions in spaces satisfying the Bakry–Émery condition. As a byproduct, we prove the Local-to-Global property of the Bakry-Émery condition in locally compact metric measure spaces without assuming a priori the non-branching condition on the metric space.File in questo prodotto:
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