On two-weight estimates for the maximal operator in local Morrey spaces

被引：10
|
作者：
Samko, Natasha [1 ]
机构：
[1] Lulea Univ Technol, SE-97187 Lulea, Sweden
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2014年 / 25卷 / 11期
关键词：
Generalized weighted Morrey space; maximal function; Sawyer condition; Muckenhoupt class; WEIGHTED HARDY;
D O I：
10.1142/S0129167X14500992
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For two weighted local Morrey spaces L-{x0}(p,phi)(Omega, u) and L-{x0}(p,phi)(Omega, v) we obtain general type sufficient conditions and necessary conditions imposed on the functions phi and psi and the weights u and v for the boundedness of the maximal operator from L-{x0}(p,phi)(Omega, u) to L-{x0}(p,phi)(Omega, v), with some "logarithmic gap" between the sufficient and necessary conditions. Both the conditions formally coincide if we omit a certain logarithmic factor in these conditions.
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收藏
页数：8
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