齐型空间上极大算子有界性的注记

Remark on boundedness of maximal operators in homogeneous spaces

主要利用齐型空间的覆盖定理讨论了极大算子Mω,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 estimatesfor 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.

The boundedness of center maximal operators Mw,v in homogeneous spaces was discussed, where w,v 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.