A note one Sobolev type inequalities with p<1 and modified norm

Details A note one Sobolev type inequalities with p<1 and modified norm A note one Sobolev type inequalities with p<1 and modified norm

2004-09-22

arxiv.org/abs/math/0409425v1

Mathematics

Functional Analysis

4 pp

Scientific paper

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.

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