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NEW WAVELET BASES FOR NON-HOMOGENEOUS SYMBOLIC SPACE OpS1,1^m AND RELATED KERNEL-DISTRIBUTION SPACES
作者姓名:YANG  Qixiang
作者单位:YANG QIXIANGDepartment of Mathematics,Wuhan University,Wuhan 430072,China.
基金项目:Project supported by the National Natural Science Foundation of China (No. 10001027).
摘    要:This paper constructs several classes of new wavelet bases, which are unconditional bases for related operator spaces. Using these bases, the author analyzes non-homogeneous symbolic space OpSm1,1 and two related kernel-distribution spaces, and characterizes them in two wavelet coefficients spaces. Besides, some properties for singular integral operators are studied.

关 键 词:符号空间  核广义函数空间  小波基  齐次性  奇异积分算子  范数  算子空间    非条件基
收稿时间:2000/4/14 0:00:00
修稿时间:3/1/2021 12:00:00 AM

NEW WAVELET BASES FOR NON-HOMOGENEOUS SYMBOLIC SPACE $OpS_{1,1}^m$ AND RELATED KERNEL-DISTRIBUTION SPACES
YANG Qixiang.NEW WAVELET BASES FOR NON-HOMOGENEOUS SYMBOLIC SPACE $OpS_{1,1}^m$ AND RELATED KERNEL-DISTRIBUTION SPACES[J].Chinese Annals of Mathematics,Series B,2002,23(4):551-562.
Authors:YANG Qixiang
Institution:DepartmentofMathematics,WuhanUniversity,Wuhan430072,China.
Abstract:This paper constructs several classes of new wavelet bases, which are unconditional bases for related operator spaces. Using these bases, the author analyzes non-homogeneous symbolic space OpSm1,1 and two related kernel-distribution spaces, and characterizes them in two wavelet coefficients spaces. Besides, some properties for singular integral operators are studied.
Keywords:Wavelet bases  Symbolic spaces  Kernel-distribution spaces
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