On estimates of the Bourgain-Brezis-Mironescu type in the singular context
Roman D. Oleinik
TL;DR
This paper extends the Bourgain-Brezis-Mironescu characterization to a broader class of mollifiers for maps between metric measure spaces, enhancing the understanding of nonlocal functionals in metric analysis.
Contribution
It introduces a generalized framework for Bourgain-Brezis-Mironescu estimates applicable to a wider range of mollifiers and metric space mappings.
Findings
Extended the characterization to broader mollifiers
Applicable to maps between general metric measure spaces
Enhanced understanding of nonlocal functionals in metric analysis
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.
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Taxonomy
TopicsFixed Point Theorems Analysis · Mathematical Dynamics and Fractals · Geometric Analysis and Curvature Flows