Boundary values versus dilatations of harmonic mappings

DOI10.1007/BF02843157zbMath0908.30017MaRDI QIDQ1385425

Daoud Bshouty, Walter Hengartner

Publication date: 26 April 1998

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Blaschke productunivalent harmonic mappingsJordan domain

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (11)

Geometric properties of harmonic shears ⋮ Curvature properties of planar harmonic mappings ⋮ Uniqueness of Harmonic Mappings with Blaschke Dilatations ⋮ Minimal surfaces whose Gauss map covers periodically the pointed upper half-sphere exactly once ⋮ On the boundary behaviour of univalent harmonic mappings onto convex domains ⋮ Minimal surfaces over stars ⋮ Convex combinations of planar harmonic mappings realized through convolutions with half-strip mappings ⋮ On a problem of the constructive theory of harmonic mappings ⋮ On the shears of univalent harmonic mappings ⋮ Harmonic shears of elliptic integrals ⋮ Boundary Behavior of Univalent Harmonic Mappings

Cites Work

• On the Fourier series of a step function
• Harmonic mappings of multiply connected domains
• The boundary behaviour of harmonic univalent maps
• Harmonic Mappings with Given Dilatation
• On the boundary behavior of orientation-preserving harmonic mappings
• Planar Harmonic Maps with Inner and Blaschke Dilatations

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