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

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 OpS1,δm and kernel distributions spaces with other spacescomposed of some ahnost diagonal matrices. then get an isometric between OpS1, δm and kernel distri-bution