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On an integral operator on the unit ball in

Journal of Inequalities and Applications20052005:434806

Received: 23 December 2003

Published: 1 February 2005


Let denote the space of all holomorphic functions on the unit ball . In this paper, we investigate the integral operator , , , where and is the radial derivative of . The operator can be considered as an extension of the Cesàro operator on the unit disk. The boundedness of the operator on -Bloch spaces is considered.

Authors’ Affiliations

Mathematical Institute of Serbian Academy of Sciences and Arts, Beograd, Serbia


© Stević 2005