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

    • Fulltext

       

        Click here to view fulltext PDF


      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

       
  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.