Bilinear Sobolev-Poincare inequalities and Leibniz-type rules
Classical Analysis and ODEs
2012-10-09 v4
Abstract
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.
Keywords
Cite
@article{arxiv.1104.3942,
title = {Bilinear Sobolev-Poincare inequalities and Leibniz-type rules},
author = {Frederic Bernicot and Diego Maldonado and Kabe Moen and Virginia Naibo},
journal= {arXiv preprint arXiv:1104.3942},
year = {2012}
}
Comments
To appear in Journal of Geometric Analysis