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齐型空间上极大算子有界性的注记
引用本文:董毅.齐型空间上极大算子有界性的注记[J].中国科学技术大学学报,2009,39(9).
作者姓名:董毅
作者单位:蚌埠学院理学系,安徽蚌埠,233050
摘    要: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 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.

关 键 词:极大算子  加权  齐型空间

Remark on boundedness of maximal operators in homogeneous spaces
DONG Yi.Remark on boundedness of maximal operators in homogeneous spaces[J].Journal of University of Science and Technology of China,2009,39(9).
Authors:DONG Yi
Abstract: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.
Keywords:maximal operators  homogeneous  weight
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