Ellipses, near ellipses, and harmonic Möbius transformations

DOI10.1090/S0002-9939-05-07817-2zbMath1068.30018MaRDI QIDQ4674771

Peter Duren, Martin Chuaqui Farrú, Brad G. Osgood

Publication date: 18 May 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Schwarzian derivativeharmonic mappingharmonic Möbius transformationanalytic functions taking circles to ellipses

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Harmonic maps, etc. (58E20) Geometric function theory (30C99) Proceedings, conferences, collections, etc. pertaining to potential theory (31-06)

Related Items (12)

Curvature properties of planar harmonic mappings ⋮ Univalence criteria for lifts of harmonic mappings to minimal surfaces ⋮ Hereditary circularity for energy minimal diffeomorphisms ⋮ Ellipses and similarity transformations with norm functions ⋮ Quadratic differentials of real algebraic curves ⋮ General approach to regions of variability via subordination of harmonic mappings ⋮ Some properties and regions of variability of affine harmonic mappings and affine biharmonic mappings ⋮ Pre-schwarzian and Schwarzian derivatives of harmonic mappings ⋮ Carleson measure of harmonic Schwarzian derivatives associated with a finitely generated Fuchsian group of the second kind ⋮ Harmonic hereditary convexity ⋮ Conformal mapping and ellipses ⋮ QUASICONFORMAL EXTENSIONS OF HARMONIC MAPPINGS WITH A COMPLEX PARAMETER

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