English

Removability of H\"older graphs for continuous sobolev functions

Classical Analysis and ODEs 2010-06-14 v1 Metric Geometry

Abstract

We characterize the removability of H\"older-α\alpha graphs with respect to continuous Sobolev W1,2W^{1,2} functions. For α>2/3\alpha > 2/3 these graphs are removable, while for α<2/3\alpha <2/3 there exist graphs which are not removable.

Cite

@article{arxiv.1006.2152,
  title  = {Removability of H\"older graphs for continuous sobolev functions},
  author = {Nicolae Tecu},
  journal= {arXiv preprint arXiv:1006.2152},
  year   = {2010}
}

Comments

11 pages, 1 figure

R2 v1 2026-06-21T15:34:41.387Z