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

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2019,（6）
• 页码范围: 1029-1040
• 页数: 12页
• 语种: 英文

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).