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    • Equivalent Moduli of Continuity, Bloch's Theorem for Pluriharmonic Mappings in $\mathbb{B}^n$

      Sh Chen S Ponnusamy X Wang

      Volume 122 Issue 4 November 2012 pp 583-595

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/122/04/0583-0595

    • Keywords

       

      Pluriharmonic mapping; Lipschitz-type space; Bloch constant; Schwarz’ lemma; equivalent norm.

    • Abstract

       

      In this paper, we first establish a Schwarz–Pick type theorem for pluriharmonic mappings and then we apply it to discuss the equivalent norms on Lipschitz-type spaces. Finally, we obtain several Landau’s and Bloch’s type theorems for pluriharmonic mappings.

    • Author Affiliations

       

      Sh Chen1 2 S Ponnusamy3 X Wang1

      1. Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, People’s Republic of China
      2. Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, Hunan 421008, People’s Republic of China
      3. Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India

    • Dates

       
      Published
      November 2012
      Manuscript received
      16 June 2011
      Manuscript revised
      2 December 2011

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