2014
DOI: 10.1215/ijm/1446819298
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Schwarz–Pick type estimates of pluriharmonic mappings in the unit polydisk

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: 829-840, 1989].

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Cited by 11 publications
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References 28 publications
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