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Boundeness of a Class of Maximal Operators on H~p Spaces on Compact Lie Groups
作者姓名:江寅生
作者单位:Xin jiang
摘    要:In this paper we discuss the weak type(H^p,L^p) boundedness of a class of maximal operators T*^ψ and themaximal strong mean boundedness of a family of the operators {T^ψ} on the atomic H^p spaces on compact Lic groups.Also,we obtain the correspoding convergent results.

关 键 词:有界性  极大算子  紧李群  H^p空间  李代数  自然同构  正则原子    估计  左不变微分算子

Boundeness of a Class of Maximal Operators on H^pSpaces on Compact Lie Groups
Jiang Yinsheng.Boundeness of a Class of Maximal Operators on H~p Spaces on Compact Lie Groups[J].Chinese Quarterly Journal of Mathematics,1993,8(4):1-9.
Authors:Jiang Yinsheng
Institution:XinjiangUniversity,China
Abstract:In this paper we discuss the weak type(IP,I)boundedness of a class of maximal operators T and themaximal strong,mean boundedness of a family of the operators {T on the atomic IP spaces on compaet Lie groups.Also,we obtain the correspoding convergent rosults.
Keywords:compact Lie group  IP spaces  boundedness of a class of maximal operators
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