Title of article :
THE STARLIKENESS, CONVEXITY, COVERING THEOREM AND EXTREME POINTS OF p-HARMONIC MAPPINGS
Author/Authors :
Luo, Qiuhong University of Hunan Normal - Department of Mathematics, China , Wang, Xiantao University of Hunan Normal - Department of Mathematics, China
Abstract :
The main aim of this paper is to introduce three classes H^0 p,q, H^1 p,q and TH* p of p-harmonic mappings and discuss the properties of mappings in these classes. First, we discuss the starlikeness and convexity of mappings in H^0 p,q and H^1 p,q. Then establish the covering theorem for mappings in H^1 p,q. Finally, we determine the extreme points of the class TH* p .
Keywords :
$p$ , harmonic mapping , univalence , starlikeness , convexity , extreme point
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society