On estimates of the Bourgain-Brezis-Mironescu type in the singular context

2025/10/21 by Oleinik, Roman D.
#46E36 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2510.18720

Abstract

We extend the characterization of the Bourgain-Brezis-Mironescu type for maps from certain metric measure spaces to arbitrary metric spaces to a broader class of mollifiers.

Citations

• Metric Sobolev spaces I: equivalence of definitions
• Asymptotic relations of the Bourgain-Brezis-Mironescu type for mappings between singular spaces
• A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces
• Korevaar-Schoen's energy on strongly rectifiable spaces
• New characterizations of Sobolev metric spaces

Related

• Asymptotic relations of the Bourgain-Brezis-Mironescu type for mappings between singular spaces
• Bourgain-Brezis-Mironescu approach in metric spaces with Euclidean tangents
• Spaces of Type BLO on Non-homogeneous Metric Measure Spaces
• A few aspects of analysis on metric spaces
• Mosco Convergence of Stable-Like Non-Local Dirichlet Forms on Metric Measure Spaces