The aim of this work is to answer positively a more general question than the following which is due to T. Sheil-Small: Does the harmonic extension in the open unit disc of a mapping f from the unit circle into itself of the form , where is a continuously non-decreasing function that satisfies , assume every value finitely many times in the disc?
@article{bwmeta1.element.ojs-doi-10_17951_a_2012_66_2_25-29,
author = {Daoud Bshouty and Abdallah Lyzzaik},
title = {On a question of T. Sheil-Small regarding valency of harmonic maps},
journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
volume = {66},
year = {2012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2012_66_2_25-29}
}
Daoud Bshouty; Abdallah Lyzzaik. On a question of T. Sheil-Small regarding valency of harmonic maps. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 66 (2012) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2012_66_2_25-29/
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