Necessary and sufficient conditions for the boundedness of fractional maximal operators in local Morrey-type spaces
Necessary and sufficient conditions for the boundedness of fractional maximal operators in local Morrey-type spaces
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DOI：
10.1016/j.cam.2006.10.085
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发表时间：
2007-11
影响因子：
2.4
通讯作者：
V. Burenkov;H. V. Guliyev;V. Guliyev
中科院分区：
文献类型：
--
作者：
V. Burenkov;H. V. Guliyev;V. Guliyev
The problem of the boundedness of the fractional maximal operator Mα, 0<α<n, in local and global Morrey-type spaces is reduced to the problem of the boundedness of the Hardy operator in weighted Lp-spaces on the cone of non-negative non-increasing functions. This allows obtaining sharp sufficient conditions for the boundedness for all admissible values of the parameters. Moreover, in case of local Morrey-type spaces, for some values of the parameters, these sufficient conditions coincide with the necessary ones.
