We prove local weighted integral inequalities for differential forms. Then by using the local results, we prove global weighted integral inequalities for differential forms in L^s(μ)-averaging domains and in John dom...We prove local weighted integral inequalities for differential forms. Then by using the local results, we prove global weighted integral inequalities for differential forms in L^s(μ)-averaging domains and in John domains, respectively, which can be considered as generalizations of the classical Poincare-type inequality.展开更多
文摘We prove local weighted integral inequalities for differential forms. Then by using the local results, we prove global weighted integral inequalities for differential forms in L^s(μ)-averaging domains and in John domains, respectively, which can be considered as generalizations of the classical Poincare-type inequality.