L1-Poincaré and Sobolev inequalities for differential forms in Euclidean spaces

被引：0
|
作者：
Annalisa Baldi
Bruno Franchi
Pierre Pansu
机构：
[1] Università di Bologna,Dipartimento di Matematica
[2] Université Paris-Sud,Laboratoire de Mathématiques d’Orsay
[3] CNRS,undefined
[4] Université Paris-Saclay,undefined
来源：
Science China Mathematics | 2019年 / 62卷
关键词：
differential forms; Sobolev-Poincaré inequalities; homotopy formula; 58A10; 26D15; 46E35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove Poincaré and Sobolev inequalities for differential forms in L1(ℝn). The singular integral estimates that it is possible to use for Lp, p > 1, are replaced here with inequalities which go back to Bourgain and Brezis (2007).
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页码：1029 / 1040
页数：11
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