A step towards the tensorization of Sobolev spaces

2023/05/09 by Silvia Ghinassi, Ghinassi, Silvia, Vikram Giri +3 · 1 citation
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.2305.05804

Abstract

We prove that Sobolev spaces on Cartesian and warped products of metric spaces tensorize, only requiring that one of the factors is a doubling space supporting a Poincaré inequality.

Cited by

• Warped products, solid hyperbolic fillings, and the identity D^1,p = N^1,p + ℝ

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