On harmonic functions on surfaces with positive Gauss curvature and the Schwarz lemma

David Kalaj

doi:10.1216/RMJ-2014-44-5-1585

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Home > Journals > Rocky Mountain J. Math. > Volume 44 > Issue 5 > Article

2014 On harmonic functions on surfaces with positive Gauss curvature and the Schwarz lemma

David Kalaj

Rocky Mountain J. Math. 44(5): 1585-1593 (2014). DOI: 10.1216/RMJ-2014-44-5-1585

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Abstract

We prove some versions of the Schwarz lemma for real harmonic functions in certain Riemann surfaces with positive Gauss curvature.

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David Kalaj. "On harmonic functions on surfaces with positive Gauss curvature and the Schwarz lemma." Rocky Mountain J. Math. 44 (5) 1585 - 1593, 2014. https://doi.org/10.1216/RMJ-2014-44-5-1585

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Published: 2014

First available in Project Euclid: 1 January 2015

zbMATH: 1303.31006

MathSciNet: MR3295642

Digital Object Identifier: 10.1216/RMJ-2014-44-5-1585

Subjects:

Primary: 31C05

Secondary: 30A10

Keywords: Gauss curvature , Harmonic functions , Schwarz lemma , unit disk

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Vol.44 • No. 5 • 2014

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David Kalaj "On harmonic functions on surfaces with positive Gauss curvature and the Schwarz lemma," Rocky Mountain Journal of Mathematics, Rocky Mountain J. Math. 44(5), 1585-1593, (2014)

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