Old and new order of linear invariant family of harmonic mappings and the bound for Jacobian

DOI10.2478/v10062-011-0024-3zbMath1250.30020OpenAlexW2203259635MaRDI QIDQ2890392

Magdalena Sobczak-Kneć, Jan Szynal, Victor V. Starkov

Publication date: 8 June 2012

Published in: Annales UMCS, Mathematica (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/00b94bb700d7762cd7bc48e3ef52d73041a39697

zbMATH Keywords

Jacobianlinear invariant familyorderharmonic mappingaffine invariant family

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (11)

Linear connectivity, Schwarz-Pick lemma and univalency criteria for planar harmonic mapping ⋮ Coefficients of univalent harmonic mappings ⋮ The Schwarzian derivatives of harmonic functions and univalence conditions ⋮ Harmonic pre-Schwarzian and its applications ⋮ Nehari type theorems and uniform local univalence of harmonic mappings ⋮ Radii of covering disks for locally univalent harmonic mappings ⋮ Absolutely convex, uniformly starlike and uniformly convex harmonic mappings ⋮ Harmonic mappings onto R-convex domains ⋮ ON REGULARITY THEOREMS FOR LINEARLY INVARIANT FAMILIES OF HARMONIC FUNCTIONS ⋮ Lower and upper order of harmonic mappings ⋮ Distortion theorems associated with Schwarzian derivative for harmonic mappings

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