English

Equivalent moduli of continuity, Bloch's theorem for pluriharmonic mappings in $\mathbb{B}^{n}$

Complex Variables 2011-12-06 v1

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.

Keywords

Cite

@article{arxiv.1112.0685,
  title  = {Equivalent moduli of continuity, Bloch's theorem for pluriharmonic mappings in $\mathbb{B}^{n}$},
  author = {SH. Chen and S. Ponnusamy and X. Wang},
  journal= {arXiv preprint arXiv:1112.0685},
  year   = {2011}
}

Comments

The paper is with a journal