Higher radial derivative of functions of Q p spaces and its applications

被引：19

作者：

Li, Bo ^{[1
]}

Ouyang, Caiheng

机构：

[1] SUNY Buffalo, Dept Math, Buffalo, NY 14260 USA

[2] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 327卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Q (p) spaces; higher radial derivative; Dirichlet type spaces; random power series;

D O I：

10.1016/j.jmaa.2006.04.088

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give some characterizations of the integral and Carleson type measure both associated with higher radial derivative for holomorphic functions of Q(p,0) and Q(p) spaces in the unit ball of C-n. As applications, some sharp forms of the relations between Dirichlet type spaces and Q(p,0) spaces are shown by means of higher radial derivative, Carleson type measure and constructive methods for the cases of determinism and randomization, respectively.

引用

页码：1257 / 1272

页数：16

共 20 条

[1]

ANDERSON JM, 1974, J REINE ANGEW MATH, V270, P12

[2] 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

[3]

AULASKARI R, 1995, ACTA SCI MATH SZEGED, V60, P31

[4]

BEURLING A, 1933, THESIS UPSALLA, P34

[5] Higher radial derivative of Bloch type functions [J].

Bo, L ;

Caiheng, O .

ACTA MATHEMATICA SCIENTIA, 2002, 22 (04) :433-445

[6] RANDOM DIRICHLET FUNCTIONS - MULTIPLIERS AND SMOOTHNESS [J].

COCHRAN, WG ;

SHAPIRO, JH ;

ULLRICH, DC .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1993, 45 (02) :255-268

[7]

DUREN P. L., 1970, Theory of Spaces

[8]

FENG SJ, 2001, ANALYSIS, V21, P41, DOI DOI 10.1524/ANLY.2001.21.1.41

[9] Random Dirichlet type functions on the unit ball of Cn [J].

Hu, PY ;

Shi, JH .

CHINESE ANNALS OF MATHEMATICS SERIES B, 1999, 20 (03) :369-376

[10]

HU ZJ, 2004, J BAOJI U ARTS SCI M, V1, P19

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