On extreme points and product properties of a new subclass of p-harmonic functions

被引:2
|
作者
Li, Shu-Hai [1 ]
Tang, Huo [1 ]
Niu, Xiao-Meng [1 ]
机构
[1] Chifeng Univ, Sch Math & Stat, Inner Mongolia, Peoples R China
关键词
Analytic function; p-harmonic functions; Extreme points; Neighborhood; Hadamard product;
D O I
10.1186/s13660-019-2092-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce a new subclass of p-harmonic functions and investigate the univalence and sense-preserving, extreme points, distortion bounds, convex combination, neighborhoods of mappings belonging to the subclass. Relevant connections of the results presented here with the results of previous research are briefly indicated. Finally, we also prove new properties of the Hadamard product of these classes.
引用
收藏
页数:14
相关论文
共 43 条
  • [1] On extreme points and product properties of a new subclass of p-harmonic functions
    Shu-Hai Li
    Huo Tang
    Xiao-Meng Niu
    Journal of Inequalities and Applications, 2019
  • [2] ON A SUBCLASS OF p-HARMONIC MAPPINGS
    Porwal, Saurabh
    Dixit, K. K.
    TAMKANG JOURNAL OF MATHEMATICS, 2013, 44 (03): : 313 - 325
  • [3] p-harmonic functions by way of intrinsic mean value properties
    Arroyo, Angel
    Llorente, Jose G.
    ADVANCES IN CALCULUS OF VARIATIONS, 2023, 16 (01) : 111 - 129
  • [4] ISOLATED SINGULARITIES OF P-HARMONIC FUNCTIONS IN THE PLANE
    MANFREDI, JJ
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1991, 22 (02) : 424 - 439
  • [5] Three spheres theorem for p-harmonic functions
    Miklyukov, Vladimir M.
    Rasila, Antti
    Vuorinen, Matti
    HOUSTON JOURNAL OF MATHEMATICS, 2007, 33 (04): : 1215 - 1230
  • [6] Fatou Theorem of p-harmonic functions on trees
    Kaufman, R
    Wu, JM
    ANNALS OF PROBABILITY, 2000, 28 (03): : 1138 - 1148
  • [7] Explicit p-harmonic functions on the real Grassmannians
    Ghandour, Elsa
    Gudmundsson, Sigmundur
    ADVANCES IN GEOMETRY, 2023, 23 (03) : 315 - 321
  • [8] On convexity of level sets of p-harmonic functions
    Zhang, Ting
    Zhang, Wei
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (07) : 2065 - 2081
  • [9] A new subclass of complex harmonic functions
    Yalçin, S
    Öztürk, M
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2004, 7 (01): : 55 - 61
  • [10] Extremality of p-harmonic functions in R2
    Romanov, A. S.
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2021, 18 (02): : 1015 - 1022