正规齐型空间上的ε算子族与Litlewood－paley理论

ε-family of operators on normal spaces of homogeneous type and Littlewood Paley theory

讨论了齐型空间上的ε算子族．去掉定义中含有的零因子ρ（ｘ，ｙ）／μ（Ｂ（ｘ，ｔ＋ρ（ｘ，ｙ））），得到了改进的ε算子族定义，同时也获得了在新的ε算子族定义下正规齐型空间Ｘ上的广义Ｌｉｔｌｅｗｏｏｄ－Ｐａｌｅｙｇ－函数。

The ε family of operators on the spaces of Homogeneous type is descussed. Zero divison ρ(x,y)/μ[B(x,t+ρ(x,y))] in ε family of operators is canceled. The improved defination of ε family of operators is given. The boundedness of the generalized Littlewood Paley g function, area function S and g * λ function is obtained, where X is a normal spaces of Homogeneous type.