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Journal of Function Spaces
Volume 2014, Article ID 971595, 16 pages
Review Article

Advances in Study of Poincaré Inequalities and Related Operators

1Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
2Department of Mathematics, Seattle University, Seattle, WA 98122, USA

Received 11 January 2014; Accepted 6 March 2014; Published 6 May 2014

Academic Editor: Peilin Shi

Copyright © 2014 Yuming Xing and Shusen Ding. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We will present an up-to-date account of the recent advances made in the study of Poincaré inequalities for differential forms and related operators.