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ABSTRACT We study the Schwarz lemma for harmonic mappings in general setting and prove among the other results that: if is the class of harmonic mappings f of the unit… Click to show full abstract
ABSTRACT We study the Schwarz lemma for harmonic mappings in general setting and prove among the other results that: if is the class of harmonic mappings f of the unit disk into the geodesic disk of a Riemann surface , which is disjoint from its cut-locus with radius M satisfying some curvature restrictions, then there is a locally Lipschitz homeomorphism , convex in , with and such that for with we have for .
Keywords:
schwarz pick;
maps riemann;
inequalities harmonic;
harmonic maps;
pick type;
type inequalities
Journal Title: Complex Variables and Elliptic Equations
Year Published: 2018
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Journal Title: Complex Variables and Elliptic Equations
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!