Boundedness of the anisotropic Riesz potential in anisotropic local Morrey-type spaces

被引：6
|
作者：
Akbulut, A. [1 ]
Guliyev, V. S. [1 ,2 ]
Muradova, Sh. A. [2 ]
机构：
[1] Ahi Evran Univ, Dept Math, TR-40200 Kirsehir, Turkey
[2] Inst Math & Mech, Dept Math Anal, AZ-1145 Baku, Azerbaijan
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2013年 / 58卷 / 02期
关键词：
anisotropic Riesz potential; anisotropic local and global Morrey-type spaces; Hardy operator on the cone of monotonic functions; Primary; 42B20; 42B25; 42B35; SUFFICIENT CONDITIONS; MAXIMAL OPERATOR; SINGULAR-INTEGRALS; EMBEDDINGS;
D O I：
10.1080/17476933.2011.575465
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The problem of boundedness of the anisotropic Riesz potential in local Morrey-type spaces is reduced to the problem of boundedness of the Hardy operator in weighted L p -spaces on the cone of non-negative non-increasing functions. This allows obtaining sharp sufficient conditions for boundedness for all admissible values of the parameters, which, for a certain range of the parameters wider than known before, coincide with the necessary ones.
引用
收藏
页码：259 / 280
页数：22
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