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

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    • 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

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