A Schwarz Lemma for Harmonic Functions in the Real Unit Ball
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DOI: 10.1007/s10473-019-0512-z
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. read more here.
Keywords: harmonic functions; schwarz lemma; unit ball; functions real ... See more keywords
A boundary Schwarz lemma on the classical domain of type I
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DOI: 10.1007/s11425-015-0225-7
Abstract: Let RI(m, n) be the classical domain of type I in ℂm×n with 1 ≤ m ≤ n. We obtain the optimal estimates of the eigenvalues of the Fréchet derivative Df($$\mathop Z\limits^ \circ $$Z∘) at… read more here.
Keywords: boundary schwarz; domain type; lemma classical; schwarz lemma ... See more keywords
An improved Schwarz Lemma at the boundary
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DOI: 10.1515/math-2018-0096
Abstract: Abstract We obtain an new boundary Schwarz inequality, for analytic functions mapping the unit disk to itself. The result contains and improves a number of known estimates. read more here.
Keywords: improved schwarz; lemma boundary; schwarz lemma;
Schwarz lemma and boundary Schwarz lemma for pluriharmonic mappings
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DOI: 10.2298/fil1815385z
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… read more here.
Keywords: boundary schwarz; lemma boundary; schwarz lemma; self mappings ... See more keywords