Calculus of Variations and Geometric Measure Theory

N. Gigli - B. Han

Independence on p of weak upper gradients on RCD spaces

created by gigli on 27 Jul 2014
modified by han1 on 16 May 2017

[BibTeX]

Published Paper

Inserted: 27 jul 2014
Last Updated: 16 may 2017

Journal: Journal of Functional Analysis
Volume: 271
Pages: 1-11
Year: 2016
Doi: 10.1016/j.jfa.2016.04.014

Abstract:

We study p-weak gradients on RCD(K, ∞) metric measure spaces and prove that they all coincide for p > 1. On proper spaces, our arguments also cover the extremal situation of BV functions.


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