Calculus of Variations and Geometric Measure Theory
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N. Gigli - B. Han

Independence on p of weak upper gradients on RCD spaces

created by gigli on 27 Jul 2014

[BibTeX]

Preprint

Inserted: 27 jul 2014
Last Updated: 27 jul 2014

Year: 2014

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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