Forelli-Rudin积分的帐篷嵌入与Qp到α-Bloch空间上的积分算子——纪念李国平院士吴新谋教授诞辰100周年

数学物理学报 ›› 2010, Vol. 30 ›› Issue (5): 1354-1363.

Forelli-Rudin积分的帐篷嵌入与Q_p到α-Bloch空间上的积分算子——纪念李国平院士吴新谋教授诞辰100周年

欧阳才衡

中国科学院武汉物理与数学研究所武汉 430071

收稿日期:2010-10-08 出版日期:2010-10-25 发布日期:2010-10-25
基金资助:
国家自然科学基金(10971219)资助

Tent Embedding of Forelli-Rudin Integral and Integral Operators from Q_p to α-Bloch Spaces

Ouyang Caiheng

Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071

Received:2010-10-08 Online:2010-10-25 Published:2010-10-25
Supported by:
国家自然科学基金(10971219)资助

摘要/Abstract

摘要：

该文借助关于帐篷空间的嵌入定理与Carleson型测度特征刻画了复单位球上从Q_p空间到α-Bloch空间的广义Cesàro算子的有界性与紧性.

关键词: Q_p空间, α-Bloch空间, 广义Cesàro算子, 非各向同性帐篷空间, Carleson 型测度

Abstract:

In this paper, the boundedness and compactness of the extended Cesàro operator, from Q_p spaces to α-Bloch spaces in the unit ball of Cⁿ,
are characterized by means of an embedding theorem for the non-isotropic tent type spaces and Carleson type measure.

Key words: Q_p spaces, α-Bloch spaces, Extended Cesàro operators, Non-isotropic tent type spaces, Carleson type measure

中图分类号:

32A37

欧阳才衡. Forelli-Rudin积分的帐篷嵌入与Q_p到α-Bloch空间上的积分算子——纪念李国平院士吴新谋教授诞辰100周年[J]. 数学物理学报, 2010, 30(5): 1354-1363.

Ouyang Caiheng. Tent Embedding of Forelli-Rudin Integral and Integral Operators from Q_p to α-Bloch Spaces[J]. Acta mathematica scientia,Series A, 2010, 30(5): 1354-1363.

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