arXiv (All)
open access
A geometric characterization of the Maz'ya-Shaposhnikova limit on metric measure spaces
We provide a purely geometric necessary and sufficient condition, in terms of a certain Cesàro mean of the volume function, for the existence of the Maz'ya-Shaposhnikova functional limit with respect to Gagliardo seminorms on metric measure spaces (under a mild measure condition). As an application,
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Continuity equation on metric spaces via measure-valued derivations and BV-Wasserstein curves#792578
- Continuity equation on metric spaces via measure-valued derivations and BV-Wasserstein curves#788578
- Inner multipliers, similarity and invariant subspaces for a class of Harmonically weighted Dirichlet spaces#1123395
- The $L_p$ Minkowski problem for $C$-close sets: existence and continuity#1050151
- Sliced Orlicz-Wasserstein#1117178
Record · ID 1062553
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive