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

页码：261 / 278

页数：18

共 50 条

[1] Lipschitz-Type Spaces and Hardy Spaces on Some Classes of Complex-Valued Functions
Shaolin Chen
Saminathan Ponnusamy
[J]. Integral Equations and Operator Theory, 2013, 77 : 261 - 278
[2] Hardy Type Spaces and Bergman Type Classes of Complex-Valued Harmonic Functions
Chen, Shaolin
Hamada, Hidetaka
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2023, 46 (04)
[3] Hardy Type Spaces and Bergman Type Classes of Complex-Valued Harmonic Functions
Shaolin Chen
Hidetaka Hamada
[J]. Bulletin of the Malaysian Mathematical Sciences Society, 2023, 46
[4] Lipschitz-type functions on metric spaces
Garrido, M. Isabel
Jaramillo, Jesus A.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 340 (01) : 282 - 290
[5] CHARACTERIZATIONS OF HARDY-TYPE, BERGMAN-TYPE AND DIRICHLET-TYPE SPACES ON CERTAIN CLASSES OF COMPLEX-VALUED FUNCTIONS
Chen, Shaolin
Rasila, Antti
Vuorinen, Matti
[J]. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2019, 44 : 427 - 448
[6] ON LIPSCHITZ-TYPE MAXIMAL FUNCTIONS AND THEIR SMOOTHNESS SPACES
LENZE, B
[J]. PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1988, 91 (01): : 53 - 63
[7] Equivalent norms on Lipschitz-type spaces of holomorphic functions
Dyakonov, KM
[J]. ACTA MATHEMATICA, 1997, 178 (02) : 143 - 167
[8] On characterizations of Bloch-type, Hardy-type and Lipschitz-type spaces
Chen, Shaolin
Ponnusamy, Saminathan
Rasila, Antti
[J]. MATHEMATISCHE ZEITSCHRIFT, 2015, 279 (1-2) : 163 - 183
[9] On characterizations of Bloch-type, Hardy-type and Lipschitz-type spaces
Shaolin Chen
Saminathan Ponnusamy
Antti Rasila
[J]. Mathematische Zeitschrift, 2015, 279 : 163 - 183
[10] On some Lipschitz-type functions
Aggarwal, Manisha
Cobzas, Stefan
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 517 (02)

← 1 2 3 4 5 →