Vector calculus on weighted reflexive Banach spaces
Functional Analysis
2024-09-17 v2 Classical Analysis and ODEs
Metric Geometry
Abstract
We study first-order Sobolev spaces on reflexive Banach spaces via relaxation, test plans, and divergence. We show the equivalence of the different approaches to the Sobolev spaces and to the related tangent bundles.
Keywords
Cite
@article{arxiv.2306.03684,
title = {Vector calculus on weighted reflexive Banach spaces},
author = {Enrico Pasqualetto and Tapio Rajala},
journal= {arXiv preprint arXiv:2306.03684},
year = {2024}
}
Comments
20 pages