A step towards the tensorization of Sobolev spaces
Metric Geometry
2025-10-23 v3 Classical Analysis and ODEs
Functional Analysis
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 Poincar\'e inequality.
Cite
@article{arxiv.2305.05804,
title = {A step towards the tensorization of Sobolev spaces},
author = {Silvia Ghinassi and Vikram Giri and Elisa Negrini},
journal= {arXiv preprint arXiv:2305.05804},
year = {2025}
}
Comments
23 pages; to appear in Ann. Fenn. Math