Mathematics > Functional Analysis
arXiv:2510.19380 (math)
[Submitted on 22 Oct 2025 (v1), last revised 16 Jun 2026 (this version, v2)]
Abstract:By introducing an intrinsic perimeter measure for intrinsic countably rectifiable sets, we prove a compactness result and a Poincaré inequality for special functions with bounded variation in equiregular Carnot-Carathéodory spaces which satisfy an additional natural assumption, called property $\mathcal R$.
Submission history
From: Marco Di Marco [view email]
[v1]
Wed, 22 Oct 2025 08:53:47 UTC (15 KB)
[v2]
Tue, 16 Jun 2026 14:15:20 UTC (15 KB)
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