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New Wavelet Bases and Isometric Between Symbolic Operators Spaces OpS_(1,δ)~m and Kernel Distributions Spaces 被引量:3

New Wavelet Bases and Isometric Between Symbolic Operators Spaces OpS_(1,δ)~m and Kernel Distributions Spaces
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摘要 In the fifties. Calderon established a formal relation between svmbol and kernel distribu-tion, but it is difficult to establish an intrinsic relation. The Calderon-Zygmund (C-Z) school studiedrhe C-Z operators, and Hormander. Kohn and Nirenberg, et al. studied the symbolic operators. Herewe apply a refinement of the Littlewood-Paley (L-P) decomposition, analyse under new wavelet bases.to characterize both symbolic operators spaces OpS~m and kernel distributions spaces with other spacescomposed of some ahnost diagonal matrices. then get an isometric between OpS~m and kernel distri-bution spaces
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2002年第1期107-118,共12页 数学学报(英文版)
基金 Supported by a foundation from the Education Ministry of China for young scholars back from abroad
关键词 New wavelet bases Psendo-differential operators Kernel-distribution spaces New wavelet bases Psendo-differential operators Kernel-distribution spaces
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