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Composition Operators and Closures of Dirichlet Type Spaces Dμ in Bloch Type Spaces

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Abstract

We characterize the closure of Dirichlet type spaces Dμ in Bloch type spaces. Moreover, we study the boundedness and compactness of composition operators from Bloch type spaces to closures of Dirichlet type spaces Dμ in Bloch type spaces.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang, Guangdong, 524048, P. R. China

    R. Qian

  2. Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, 610054, Chengdu, Sichuan, P. R. China

    S. Li

  3. Institute of Systems Engineering, Macau University of Science and Technology, Avenida Wai Long, Taipa, Macau, P. R. China

    S. Li

Authors
  1. R. Qian
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  2. S. Li
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Corresponding author

Correspondence to S. Li.

Additional information

This project was partially supported by NSF of China (No. 11471143 and No. 11720101003) a grant of Lingnan Normal University (No. 1170917016) and the Key Subject Program of Lingnan Normal University (No. 1171518004).

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Qian, R., Li, S. Composition Operators and Closures of Dirichlet Type Spaces Dμ in Bloch Type Spaces. Anal Math 45, 121–132 (2019). https://doi.org/10.1007/s10476-018-0406-7

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  • DOI: https://doi.org/10.1007/s10476-018-0406-7

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