Table of Contents Author Guidelines Submit a Manuscript
Journal of Function Spaces and Applications
Volume 2013 (2013), Article ID 167514, 13 pages
Research Article

Maximal and Area Integral Characterizations of Bergman Spaces in the Unit Ball of

1Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, 30 West District, Xiao-Hong-Shan, Wuhan 430071, China
2Graduate University of Chinese Academy of Sciences, Beijing 100049, China

Received 15 May 2013; Accepted 17 July 2013

Academic Editor: Pei De Liu

Copyright © 2013 Zeqian Chen and Wei Ouyang. 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 present maximal and area integral characterizations of Bergman spaces in the unit ball of . The characterizations are in terms of maximal functions and area integral functions on Bergman balls involving the radial derivative, the complex gradient, and the invariant gradient. As an application, we obtain new maximal and area integral characterizations of Besov spaces. Moreover, we give an atomic decomposition of real-variable type with respect to Carleson tubes for Bergman spaces.