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.

引用

页数：8

共 17 条

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[2]

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[3]

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[4]

Chiarenza F., 1987, Rend. Mat., V7, P273

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