The higher order derivatives of QK type spaces

被引：21

作者：

Wulan, Hasi ^{[1
]}

Zhou, Jizhen

机构：

[1] Shantou Univ, Dept Math, Shantou 515063, Peoples R China

[2] Anhui Univ Sci & Technol, Dept Math & Phys, Huainan 232001, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 332卷 / 02期

基金：

中国国家自然科学基金;

关键词：

higher order derivatives; Q(K) (p; q); spaces; K-Carleson measures;

D O I：

10.1016/j.jmaa.2006.10.082

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The higher order derivatives characterization Of Q(K) type spaces, the so-called QK(p, q) spaces, is given. Our result further means that the spaces Q(K)(p, q) can be described by the K-Carleson measures. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：1216 / 1228

页数：13

共 18 条

[1]

[Anonymous], 1994, ANN ACAD SCI FENN A

[2]

[Anonymous], 2001, HOLOMORPHIC Q CLASSE

[3]

AULASKARI R, 1994, PITMAN RES, V359, P136

[4] The n-th derivative characterisation of mobius invariant Dirichlet space [J].

Aulaskari, R ;

Nowak, M ;

Zhao, R .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1998, 58 (01) :43-56

[5]

DUREN P. L., 1970, Theory of Spaces

[6] Several function-theoretic characterizations of Mobius invariant QK spaces [J].

Essén, M ;

Wulan, H ;

Xiao, J .

JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 230 (01) :78-115

[7] On analytic and meromorphic functions and spaces of QK-type [J].

Essén, M ;

Wulan, H .

ILLINOIS JOURNAL OF MATHEMATICS, 2002, 46 (04) :1233-1258

[8] DUAL OF AN INEQUALITY OF HARDY AND LITTLEWOOD AND SOME RELATED INEQUALITIES [J].

FLETT, TM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1972, 38 (03) :746-&

[9]

GARNETT J, 1982, BOUNDED ANAL FUNCTIO

[10]

RATTYA J, 2000, FENN ANN ACAD SCI FE, V122

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