A note one Sobolev type inequalities with p<1 and modified norm
Functional Analysis
2007-05-23 v1
Abstract
A note that points out the possibility to have p<1 in Sobolev type of inequalities by a use of the momomial structure of polynomials or power series. The proof is simple: Triangle angle inequality p*>1, monomial estimate from p* to exponent p<1, then the inverse triangle inequality.
Cite
@article{arxiv.math/0409425,
title = {A note one Sobolev type inequalities with p<1 and modified norm},
author = {Andreas Wannebo},
journal= {arXiv preprint arXiv:math/0409425},
year = {2007}
}
Comments
4 pp