Schwarz-Pick type estimates of pluriharmonic mappings in the unit polydisk

Shaolin Chen, Antti Rasila

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

In this paper, we will give Schwarz-Pick type estimates of arbitrary order partial derivatives for bounded pluriharmonic mappings defined in the unit polydisk. Our main results are generalizations of results of Colonna for planar harmonic mappings in (Indiana Univ. Math. J. 38 (1989) 829-840).

Original languageEnglish
Pages (from-to)1015-1024
Number of pages10
JournalIllinois Journal of Mathematics
Volume58
Issue number4
DOIs
StatePublished - 1 Dec 2014

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