Removability of exceptional sets for differentiable and Lipschitz functions
Functional Analysis
2014-12-22 v1
Abstract
We discuss removability problems concerning differentiability and pointwise Lipschitz conditions for functions of a real variable. We prove that, in each of the settings under consideration, a set is removable if and only if it has no perfect subsets.
Keywords
Cite
@article{arxiv.1412.6403,
title = {Removability of exceptional sets for differentiable and Lipschitz functions},
author = {J. Craig and J. F. Feinstein and P. Patrick},
journal= {arXiv preprint arXiv:1412.6403},
year = {2014}
}
Comments
5 pages, to appear in Contemp. Math., Proceedings of 7th conference on Function Spaces, Edwardsville Illinois, 2014