arXiv (OAI Expanded)
open access
On the measure of the boundary of a Hajłasz-Sobolev $(M^{1,p},M^{1,q})$-extension domain
We prove that the boundary of every bounded $(M^{1,p},M^{1,q})$-extension domain in a $Q$-doubling metric measure space has measure zero whenever $0<q<p<\infty$, with the additional restriction that $p<qQ/(Q-q)$ if $q<Q$.
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
- On the measure of the boundary of a Hajłasz-Sobolev $(M^{1,p},M^{1,q})$-extension domain#793045
- Second domain variation for the $p$ - capacity and the $q$ - torsional rigidity#984051
- On the feasible set of a membrane shell under confinement. Smooth inactive admissible displacements are dense#1109161
- The $L_p$ dual Minkowski problem for $p>1$ and $q>0$#158583
- Generalized Volterra Companion Operators on Bergman Spaces over Convex Domains of Finite Type#1064128
Record · ID 789041
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