Vector calculus on weighted reflexive Banach spaces

2023/06/06 by Pasqualetto, Enrico, Rajala, Tapio
#18F15 #46E35 #49J52 #53C23 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2306.03684

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.

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