C^n单位球上Q_p空间的点态乘子

数学物理学报 ›› 2005, Vol. 25 ›› Issue (6): 821-831.

C^n单位球上Q_p空间的点态乘子

彭茹, 欧阳才衡

武汉理工大学数学系武汉 430070 中国科学院武汉物理与数学研究所武汉

出版日期:2005-12-24 发布日期:2005-12-24
基金资助:
国家自然科学基金(10271117)资助

Pointwise Multipliers of Q_p Spaces on the Unit Ball of |C^n

PENG Ru, OU Yang-Cai-Heng

Online:2005-12-24 Published:2005-12-24
Supported by:
国家自然科学基金(10271117)资助

摘要/Abstract

摘要：

该文研究了C^n单位球上Q_p空间的点态乘子空间M(Q_p),分别给出了M(Q_p)与α Bloch 空间及Dirichlet型空间之间严格精确的包含关系.并相应地讨论了单位球上Q_{p,0}空间的点态乘子.

关键词: 单位球;Q_p空间;点态乘子;包含关系

Abstract:

In this paper, the authors study the pointwise multiplier spaces M(Q_p) of function spaces Q_p on the unit ball of C^n.The inclusion relations between M(Q_p) and α Bloch spaces as well as Dirichlet type spaces are given, respectively. And the strictness and the best possibility of these inclusions are shown. Correspondingly, the authors discuss the pointwise multipliers of functi on spaces Q_{p,0} on the unit ball

Key words: Unit ball, Q_p space, Pointwise multiplier, Inclusi on relation

中图分类号:

32A37

彭茹, 欧阳才衡. C^n单位球上Q_p空间的点态乘子[J]. 数学物理学报, 2005, 25(6): 821-831.

PENG Ru, OU Yang-Cai-Heng. Pointwise Multipliers of Q_p Spaces on the Unit Ball of |C^n[J]. Acta mathematica scientia,Series A, 2005, 25(6): 821-831.

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