TY - JOUR
ID - 224
TI - The starlikeness, convexity, covering theorem and extreme points of p-harmonic mappings
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Luo, Qiuhong
AU - Wang, Xiantao
AD - Department of Mathematics,
Hunan Normal University, Changsha, Hunan 410081, People's Republic
of China.
AD - Hunan Normal University of China
Y1 - 2012
PY - 2012
VL - 38
IS - 3
SP - 581
EP - 596
KW - $p$-harmonic mapping
KW - univalence
KW - starlikeness
KW - Convexity
KW - extreme point
DO -
N2 - 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 $TH^*_{p}$.
UR - http://bims.iranjournals.ir/article_224.html
L1 - http://bims.iranjournals.ir/article_224_ef60efaae2872ad5d035ebe7683c92ed.pdf
ER -