$L^1$-Poincar\'e and Sobolev inequalities for differential forms in Euclidean spaces
Differential Geometry
2019-02-28 v1
Abstract
In this paper, we prove Poincar\'e and Sobolev inequalities for differential forms in . The singular integral estimates that it is possible to use for , , are replaced here with inequalities which go back to Bourgain-Brezis.
Keywords
Cite
@article{arxiv.1902.10138,
title = {$L^1$-Poincar\'e and Sobolev inequalities for differential forms in Euclidean spaces},
author = {Annalisa Baldi and Bruno Franchi and Pierre Pansu},
journal= {arXiv preprint arXiv:1902.10138},
year = {2019}
}
Comments
Accepted for publication in Science China Mathematics. arXiv admin note: text overlap with arXiv:1902.04819