Bilinear Sobolev-Poincare inequalities and Leibniz-type rules

Details Bilinear Sobolev-Poincare inequalities and Leibniz-type rules Bilinear Sobolev-Poincare inequalities and Leibniz-type rules

2011-04-20

arxiv.org/abs/1104.3942v3

Mathematics

Classical Analysis and ODEs

34 pages

Scientific paper

The dual purpose of this article is to establish bilinear Poincare-type estimates associated to an approximation of the identity and to explore the connections between bilinear pseudo-differential operators and bilinear potential-type operators. The common underlying theme in both topics is their applications to Leibniz-type rules in Sobolev and Campanato-Morrey spaces under Sobolev scaling.

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