English

Generalized Lebesgue points for Sobolev functions

Functional Analysis 2015-06-29 v1

Abstract

In this article, we show that a function fMs,p(X),f\in M^{s,p}(X), 0<s1,0<s\leq 1, 0<p<1,0<p<1, where XX is a doubling metric measure space, has generalized Lebesgue points outside a set of Hh\mathcal{H}^h-Hausdorff measure zero for a suitable gauge function h.h.

Cite

@article{arxiv.1506.08026,
  title  = {Generalized Lebesgue points for Sobolev functions},
  author = {Nijjwal Karak},
  journal= {arXiv preprint arXiv:1506.08026},
  year   = {2015}
}

Comments

10 pages

R2 v1 2026-06-22T10:00:47.780Z