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Schwarz lemma and boundary Schwarz lemma for pluriharmonic mappings

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In this paper, we first improve the boundary Schwarz lemma for holomorphic self-mappings of the unit ball Bn, and then we establish the boundary Schwarz lemma for harmonic self-mappings of… Click to show full abstract

In this paper, we first improve the boundary Schwarz lemma for holomorphic self-mappings of the unit ball Bn, and then we establish the boundary Schwarz lemma for harmonic self-mappings of the unit diskD and pluriharmonic self-mappings of Bn. The results are sharp and coincides with the classical boundary Schwarz lemma when n = 1.

Keywords: boundary schwarz; lemma boundary; schwarz lemma; self mappings

Journal Title: Filomat
Year Published: 2018

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