An analog of the Schwarz lemma for locally quasiconformal automorphisms of the unit disk

DOI10.3103/S1066369X14110097zbMath1309.30025WikidataQ124823829 ScholiaQ124823829MaRDI QIDQ2262947

Sergey Yu. Graf

Publication date: 17 March 2015

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Schwarz's lemmalocally quasiconformal mappings

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Quasiconformal mappings in the complex plane (30C62)

Related Items (3)

On distortion of harmonic measure under locally quasiconformal mappings ⋮ ON DISTORTION OF THE MODULI OF RINGS UNDER LOCALLY QUASICONFORMAL MAPPINGS IN R^n ⋮ Schwarz's lemma and estimates of coefficients in the case of an arbitrary set of boundary fixed points

Cites Work

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• On an absolute constant in the theory of quasi-conformal mappings
• On one-to-one harmonic mappings
• Moduli of families of curves for conformal and quasiconformal mappings
• On the order of closeness of a spatial quasiconformal mapping to conformal
• Constants for Planar Harmonic Mappings
• Harmonic univalent functions
• Growth theorems on classes of normalized locally quasiconformal mappings

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