齐型空间上弱极大函数在极大奇异积分上的迭代

ITERATIONS OF WEAK MAXIMAL FUNCTION FOR MAXIMAL SINGULAR INTEGRAL ON SPACE OF HOMOGENEOUS TYPE

利用弱极大函数及其性质得到关于齐型空间上极大奇异积分算子的结论，即对任意可积函数ｆ及任意自然数ｍ，对Ｔｆ取ｍ次弱极大后所得函数ＭｍｗＴｆ依然弱可积，并且“范数”‖ＭｍｗＴｆ‖１，∞。

In this paper the notion of weak maximal function can be used to obtain some new information on the maximal singular integral operator.Our main result is for all f∈L1(X) and all m∈N,then Mmw(Tf)∈L1,∞(X) and ‖MmwTf‖1,∞,μgrows as a geometric progression.