A-Weighted Poincar-Type Inequalities for Differential Forms in Some Domains

Citation
Ding, Shu Sen et Gai, Yun Ying, A-Weighted Poincar-Type Inequalities for Differential Forms in Some Domains, Acta mathematica Sinica. English series (Print) , 17(2), 2000, pp. 287-294
ISSN journal
14398516
Volume
17
Issue
2
Year of publication
2000
Pages
287 - 294
Database
ACNP
SICI code
Abstract
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()-averaging domains and in John domains, respectively, which can be considered as generalizations of the classical Poincar-type inequality.