摘要
设δ(x,y)是正规齐型空间(x,d,μ)中的一个非对称拟距离,K_(?)是由δ(x,y)定义的一族算子,T是K_(?)的极大箅子,本文研究了T的L_p(1<p<∞曲)及弱L_1有界性,且给出了K_(?)(f)的点态恒等逼近和L_p恒等逼近。
Let δ(x,y) be a non-necessarily symmetric guasi-distance associated to a normal space of homogeneous type(X,d,μ),k8 be a class of operators associated loδ(x,y),T(f)(x) = sup s>0|k (f)(x)|. In this paper, we reseached the Lp boundness and weak L1boundness of the opera-tor T, the pointwise and Lp convergent approximate identities of K8(f).
出处
《怀化学院学报》
1993年第6期13-20,共8页
Journal of Huaihua University
关键词
正规齐型空间
非对称拟距离
极大算子
恒等逼近
Normal space of homogeneous type. Non-necessarily symmetric quasi-dis- tance
Maximal operator
Approximation of the identity