Lipschitz-Type Spaces and Hardy Spaces on Some Classes of Complex-Valued Functions

被引：3
|
作者：
Chen, Shaolin [1 ]
Ponnusamy, Saminathan [2 ]
机构：
[1] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China
[2] ISI, Chennai Ctr, SETS, MGR Knowledge City, Madras 600113, Tamil Nadu, India
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2013年 / 77卷 / 02期
关键词：
Lipschitz-type space; elliptic PDE; hardy space; subharmonic; harmonic and k-quasiregular mappings; harmonic majorant; INTEGRAL MEANS; HOLOMORPHIC-FUNCTIONS; EQUIVALENT NORMS; MAPPINGS;
D O I：
10.1007/s00020-013-2084-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the properties on some classes of complex-valued functions which satisfy certain elliptic equations. First, we discuss the Lipschitz-type spaces and Hardy spaces on these functions, and then we show that for a class of complex-valued functions, if it admits some bounded Dirichlet-type energy integral, then it has a harmonic majorant in the unit disk.
引用
下载
收藏
页码：261 / 278
页数：18
相关论文
共 50 条
  • [41] LIPSCHITZ FUNCTIONS ON SPACES OF HOMOGENEOUS TYPE
    MACIAS, RA
    SEGOVIA, C
    ADVANCES IN MATHEMATICS, 1979, 33 (03) : 257 - 270
  • [42] Decompositions of metrizable compact spaces admittingT-systems of complex-valued functions
    V. A. Koshcheev
    Mathematical Notes, 1997, 62 : 216 - 222
  • [43] Factorization of some Hardy-type spaces of holomorphic functions
    Bonami, Aline
    Luong Dang Ky
    COMPTES RENDUS MATHEMATIQUE, 2014, 352 (10) : 817 - 821
  • [44] HARDY SPACES OF OPERATOR-VALUED ANALYTIC FUNCTIONS
    Chen, Zeqian
    ILLINOIS JOURNAL OF MATHEMATICS, 2009, 53 (01) : 303 - 324
  • [45] Complex-valued controlled rectangular metric type spaces and application to linear systems
    Azmi, Fatima M.
    Mlaiki, Nabil
    Haque, Salma
    Shatanawi, Wasfi
    AIMS MATHEMATICS, 2023, 8 (07): : 16584 - 16598
  • [46] On Complex-Valued Triple Controlled Metric Spaces and Applications
    Mlaiki, Nabil
    Abdeljawad, Thabet
    Shatanawi, Wasfi
    Aydi, Hassen
    Gaba, Yae Ulrich
    JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [47] Hardy and Hardy-Sobolev Spaces on Strongly Lipschitz Domains and Some Applications
    Chen, Xiaming
    Jiang, Renjin
    Yang, Dachun
    ANALYSIS AND GEOMETRY IN METRIC SPACES, 2016, 4 (01): : 336 - 362
  • [48] Decompositions of metrizable compact spaces admitting T-systems of complex-valued functions
    Koshcheev, VA
    MATHEMATICAL NOTES, 1997, 62 (1-2) : 216 - 222
  • [49] Common fixed point theorems for Lipschitz-type fuzzy mappings in metric spaces
    Song, Ming-Liang
    Zhang, Xue-Jun
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [50] Surjective isometries on spaces of vector valued continuous and Lipschitz functions
    Botelho, Fernanda
    Jamison, James
    POSITIVITY, 2013, 17 (03) : 395 - 405
12345