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arXiv · 2305.05804

A step towards the tensorization of Sobolev spaces

Silvia Ghinassi·Vikram Giri·Elisa Negrini
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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.

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Silvia Ghinassi, Vikram Giri, Elisa Negrini. 2025-10-21. A step towards the tensorization of Sobolev spaces. https://arxiv.org/abs/2305.05804

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