Year: 2025
Type: preprint
Abstract: This paper investigates functional inequalities involving Besov spaces and functions of bounded variation, when the underlying metric measure space displays different local and global structures. Particular focus is put on the $L^1$ theory and its applications to sets of finite perimeter and isoperimetric inequalities, which can now capture such structural differences.
Source: arXiv (Cornell University)
Authors: Ruiz, Patricia Alonso, Baudoin, Fabrice
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Villum Fonden
OpenAlex ID: W4414938976
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