BOUNDEDNESS OF THE MAXIMAL, POTENTIAL AND SINGULAR OPERATORS IN THE GENERALIZED VARIABLE EXPONENT MORREY SPACES

被引：0
|
作者：
Guliyev, Vagif S. [1 ,2 ]
Hasanov, Javanshir J. [1 ]
Samko, Stefan G. [3 ]
机构：
[1] Inst Math & Mech, AZ-1141 Baku, Azerbaijan
[2] Ahi Evran Univ, Dept Math, Kirsehir, Turkey
[3] Univ Algarve, UCEH, PT-8000 Faro, Portugal
来源：
MATHEMATICA SCANDINAVICA | 2010年 / 107卷 / 02期
关键词：
SUFFICIENT CONDITIONS; LEBESGUE SPACES; INTEGRAL-OPERATORS; RIESZ-POTENTIALS; CONVOLUTION;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider generalized Morrey spaces M-P(.),M-omega(Omega) with variable exponent p(x) and a general function omega(x, r) defining the Money-type norm. In case of bounded sets Omega subset of R-n we prove the boundedness of the Hardy-Littlewood maximal operator and Calderon-Zygmund singular operators with standard kernel, in such spaces. We also prove a Sob lev-Adams type M-p(.),M-omega(Omega)-> M-q(.),M-omega(Omega)-theorem for the potential operators I-alpha(.), also of variable order. The conditions for the boundedness are given it terms of Zygmund-type integral inequalities on omega(x, r), which do not assume any assumption on monotonicity of omega(x, r) in r
引用
收藏
页码：285 / 304
页数：20
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