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

Authors
Ding, Shu Sen Gai, Yun Ying
Citation
Ding, Shu Sen et Gai, Yun Ying, A r -Weighted Poincar-Type Inequalities for Differential Forms in Some Domains, Acta mathematica Sinica. English series (Print) , 17(2), 2000, pp. 287-294
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
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 byusing 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.