A Note on Sobolev‐Lorentz Capacity and Hausdorff Measure

Mathematische Nachrichten 2026 Open access

Read full text
Authors: Daniel Campbell
DOI: 10.1002/mana.70157
Cited by: 0

Abstract

ABSTRACT In this paper, we give an elementary proof that sets of zero ‐Sobolev‐Lorentz capacity are ‐null sets, independently of nonlinear potential theory. We further show that there exists a set of Sobolev‐Lorentz‐ capacity equal to zero with Hausdorff dimension equal .

Fields of Study & Subjects

Nonlinear Partial Differential Equations Advanced Harmonic Analysis Research Geometric Analysis and Curvature Flows

Publication details

Journal / source
Mathematische Nachrichten
Volume
299
Issue
7
Pages
1540–1548
Publication date
13 May 2026
Language
EN