Subordination of planar harmonic functions

DOI10.1080/17476930008815245zbMath1020.30021OpenAlexW2084953734MaRDI QIDQ2723678

Lisbeth E. Schaubroeck

Publication date: 8 July 2001

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930008815245

zbMATH Keywords

majorizationinvariant family

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)

Related Items (14)

Harmonic pre-Schwarzian and its applications ⋮ Uniformly locally univalent harmonic mappings associated with the pre-Schwarzian norm ⋮ Stable classes of harmonic mappings ⋮ Extreme points of subordination and weak subordination families of harmonic mappings ⋮ Weak subordination for convex univalent harmonic functions ⋮ On harmonic \({\nu}\)-Bloch and \({\nu}\)-Bloch-type mappings ⋮ Convex combinations of planar harmonic mappings realized through convolutions with half-strip mappings ⋮ Radii of covering disks for locally univalent harmonic mappings ⋮ General approach to regions of variability via subordination of harmonic mappings ⋮ Bohr's Phenomenon for Some Univalent Harmonic Functions ⋮ Schwarzian derivative, integral means, and the affine and linear invariant families of biharmonic mappings ⋮ Bohr phenomenon for locally univalent functions and logarithmic power series ⋮ ON REGULARITY THEOREMS FOR LINEARLY INVARIANT FAMILIES OF HARMONIC FUNCTIONS ⋮ Lower and upper order of harmonic mappings

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