On the behaviors of rough multilinear fractional integral and multi-sublinear fractional maximal operators both on product Lp and weighted Lp spaces

被引：6
|
作者：
Gurbuz, Ferit [1 ]
机构：
[1] Hakkari Univ, Fac Educ, Dept Math Educ, Hakkari, Turkey
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2020年 / 21卷 / 7-8期
关键词：
A(p; q)(alpha); weight; multilinear fractional integral operator; multi-sublinear fractional maximal operator; rough kernel; NORM INEQUALITIES;
D O I：
10.1515/ijnsns-2019-0111
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The aim of this paper is to get the product L-p-estimates, weighted estimates and two-weighted estimates for rough multilinear fractional integral operators and rough multi-sublinear fractional maximal operators, respectively. The author also studies two-weighted weak type estimate on product L-p (R-n) for rough multi-sublinear fractional maximal operators. In fact, this article is the rough kernel versions of [C. E. Kenig and E. M. Stein, "Multilinear estimates and fractional integration," Math. Res. Lett., vol. 6, pp. 1-15, 1999, Y. Shi and X. X. Tao, "Weighted L-p boundedness for multilinear fractional integral on product spaces," Anal. Theory Appl., vol. 24, no. 3, pp. 280-291, 2008]' s results.
引用
收藏
页码：715 / 726
页数：12
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