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Riemann-Stieltjes operators from spaces to-Bloch spaces on the unit ball

Journal of Inequalities and Applications volume 2006, Article number: 27874 (2006) Cite this article

Abstract

Let denote the space of all holomorphic functions on the unit ball. We investigate the following integral operators:,,,, 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 two classes of Riemann-Stieltjes operators from general function space, which includes Hardy space, Bergman space, space, BMOA space, and Bloch space, to-Bloch space in the unit ball is discussed in this paper.

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Authors and Affiliations

  1. Department of Mathematics, JiaYing University, Meizhou, GuangDong, 514015, China

    Songxiao Li

  2. Department of Mathematics, Shantou University, Shantou, GuangDong, 515063, China

    Songxiao Li

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  1. Songxiao Li
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Correspondence to Songxiao Li.

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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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Li, S. Riemann-Stieltjes operators from spaces to-Bloch spaces on the unit ball. J Inequal Appl 2006, 27874 (2006). https://doi.org/10.1155/JIA/2006/27874

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  • DOI: https://doi.org/10.1155/JIA/2006/27874

Keywords

  • General Function
  • Function Space
  • Integral Operator
  • Holomorphic Function
  • Unit Ball