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On an integral operator on the unit ball in

Abstract

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.

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Correspondence to Stevo Stević.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Stević, S. On an integral operator on the unit ball in. J Inequal Appl 2005, 434806 (2005). https://doi.org/10.1155/JIA.2005.81

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  • DOI: https://doi.org/10.1155/JIA.2005.81