English

Independence on $p$ of weak upper gradients on RCD spaces

Metric Geometry 2018-07-18 v1 Functional Analysis

Abstract

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

Keywords

Cite

@article{arxiv.1407.7350,
  title  = {Independence on $p$ of weak upper gradients on RCD spaces},
  author = {Nicola Gigli and Bangxian Han},
  journal= {arXiv preprint arXiv:1407.7350},
  year   = {2018}
}

Comments

10 pages