A note one Sobolev type inequalities with p<1 and modified norm
arXiv:math/0409425
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.
4 pp