Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915The starlikeness, convexity, covering theorem and extreme points of p-harmonic mappings581596224ENQiuhongLuoDepartment of Mathematics,
Hunan Normal University, Changsha, Hunan 410081, People's Republic
of China.XiantaoWangHunan Normal University of ChinaJournal Article20110105The main <br />aim of this paper is to introduce three classes $H^0_{p,q}$, <br />$H^1_{p,q}$ and $TH^*_p$ of $p$-harmonic mappings and discuss the <br />properties of mappings in these classes. First, we discuss the <br />starlikeness and convexity of mappings in $H^0_{p,q}$ and <br />$H^1_{p,q}$. Then establish the covering theorem for mappings in <br />$H^1_{p,q}$. Finally, we determine the extreme points of the class <br />$TH^*_{p}$.http://bims.iranjournals.ir/article_224_ef60efaae2872ad5d035ebe7683c92ed.pdf