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A Schwarz Lemma for Harmonic Functions in the Real Unit Ball

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We establish a precise Schwarz lemma for real-valued and bounded harmonic functions in the real unit ball of dimension n. This extends Chen’s Schwarz-Pick lemma for real-valued and bounded planar… Click to show full abstract

We establish a precise Schwarz lemma for real-valued and bounded harmonic functions in the real unit ball of dimension n. This extends Chen’s Schwarz-Pick lemma for real-valued and bounded planar harmonic mapping.

Keywords: harmonic functions; schwarz lemma; unit ball; functions real; real unit

Journal Title: Acta Mathematica Scientia
Year Published: 2019

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