New weighted integral inequalities for differential forms in some domains

Shusen Ding

Vol. 194 (2000), No. 1, 43–56

DOI: 10.2140/pjm.2000.194.43

Abstract

We first prove local weighted integral inequalities for differential forms. Then, as applications of our local results, we prove global weighted integral inequalities for differential forms in L^s(μ)-averaging domains and John domains, respectively, which can be considered as generalizations of the classical Poincaré-type inequality.

Milestones

Received: 21 July 1997

Published: 1 May 2000