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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 the unit disk D and
pluriharmonic self-mappings of Bn. The results are sharp and coincides with
the classical boundary Schwarz lemma when n = 1.
Title: Schwarz lemma and boundary Schwarz lemma for pluriharmonic mappings
Description:
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 disk D and
pluriharmonic self-mappings of Bn.
The results are sharp and coincides with
the classical boundary Schwarz lemma when n = 1.
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