Higher-order multilinear Poincar\'e and Sobolev inequalities in Carnot groups
Classical Analysis and ODEs
2013-05-16 v2 Analysis of PDEs
Abstract
The notions of higher-order weighted multilinear Poincar\'e and Sobolev inequalities in Carnot groups are introduced. As an application, weighted Leibnitz-type rules in Campanato-Morrey spaces are established.
Keywords
Cite
@article{arxiv.1008.0414,
title = {Higher-order multilinear Poincar\'e and Sobolev inequalities in Carnot groups},
author = {Kabe Moen and Virginia Naibo},
journal= {arXiv preprint arXiv:1008.0414},
year = {2013}
}
Comments
v2 expanded introduction and added examples. To appear in Potential Analysis