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

We present maximal and area integral characterizations of Bergman spaces in the unit ball of ℂn. 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,...

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Bibliographic Details
Main Authors: Zeqian Chen, Wei Ouyang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/167514