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| NEW WAVELET BASES FOR NON-HOMOGENEOUS SYMBOLIC SPACE $OpS_{1,1}^m$ AND RELATED KERNEL-DISTRIBUTION SPACES |
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Citation： |
YANG Qixiang.NEW WAVELET BASES FOR NON-HOMOGENEOUS SYMBOLIC SPACE $OpS_{1,1}^m$ AND RELATED KERNEL-DISTRIBUTION SPACES[J].Chinese Annals of Mathematics B,2002,23(4):551~562 |
| Page view： 1045
Net amount： 749 |
Authors： |
YANG Qixiang; |
Foundation： |
Project supported by the National Natural Science Foundation of China (No. 10001027). |
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| 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 $OpS_{1,1}^m$ 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 |
Classification： |
47A65, 47A67, 42B20 |
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