A step towards the tensorization of Sobolev spaces

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Authors

Silvia Ghinassi · Shoreline Community College

Elisa Negrini · University of California, Los Angeles

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.

Topics & Keywords

Geometric Analysis and Curvature Flows Nonlinear Partial Differential Equations Advanced Harmonic Analysis Research

Publication Details

Published in: Annales Fennici Mathematici

Volume 50, Issue 2, pp. 721-740

DOI: 10.54330/afm.177193

Field-Weighted Citation Impact: 0.00

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A step towards the tensorization of Sobolev spaces

Authors

Abstract

Topics & Keywords

Publication Details