齐型空间上极大算子有界性的注记

摘要

The boundedness of center maximal operators M_(ω,ν) in homogeneous spaces was discussed,where ω,ν was Borel measure on X,satisfying doubling property.Another proof of the theorem in Ref.[Yoo Y J.Weighted weak type estimates for certain maximal operators in spaces of homogeneous type.Bull Korean Math Soc,1999,36(1):25-31] was obtained.%主要利用齐型空间的覆盖定理讨论了极大算子M_(ω,ν)在齐型空间X上的有界性,其中ω,ν是在X上的正Borel测度且满足双倍条件,并给出了文献[Yoo Y J. Weighted weak type estimates for certain maximal operators in spaces of homogeneous type. Bull Korean Math Soc, 1999, 36(1):25-31]中定理的充分性的另一种证明.