Work

Vector calculus on weighted reflexive Banach spaces

Year: 2024

Type: article

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.

Source: Mathematische Zeitschrift

DOI: 10.1007/s00209-024-03605-6

Authors: Enrico Pasqualetto, Tapio Rajala

Institution: University of Jyväskylä

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Ministero dell’Istruzione, dell’Università e della Ricerca, Jyväskylän Yliopisto

Awards: G262202642, G6558176031

OpenAlex ID: W4403393330

FWCI: 2.295

Cites: 30

Cited by: 3

Related to: 10