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

Andreas Wannebo
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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.

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Andreas Wannebo. 2004-09-22. A note one Sobolev type inequalities with p<1 and modified norm. https://arxiv.org/abs/math/0409425

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