On harmonic functions and the Schwarz lemma

Author:

Kalaj David,Vuorinen Matti

Abstract

We study the Schwarz lemma for harmonic functions and prove sharp versions for the cases of real harmonic functions and the norm of harmonic mappings.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

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2. Cambridge Tracts in Mathematics;Duren, Peter,2004

3. On one-to-one harmonic mappings;Heinz, Erhard;Pacific J. Math.,1959

4. D. Kalaj, Harmonic functions and harmonic quasiconformal mappings between convex domains, thesis, Beograd, 2002.

5. On the quasi-isometries of harmonic quasiconformal mappings;Knežević, Miljan;J. Math. Anal. Appl.,2007

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