TWO-WEIGHTED INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRAL OPERATOR AND ITS COMMUTATORS IN GENERALIZED WEIGHTED MORREY SPACES

被引：0

作者：

Avsar, Cahit ^{[1
]}

Musayev, Ali M. ^{[2
]}

Safarov, Zaman, V ^{[2
,3
]}

机构：

[1] Ankara Univ, Dept Math, Ankara, Turkey

[2] Azerbaijan State Oil & Ind Univ, Baku, Azerbaijan

[3] Inst Math & Mech, Baku, Azerbaijan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS | 2022年 / 13卷 / 04期

关键词：

Generalized fractional integral; Riesz potential; fractional maximal operator; commutator; weighted Lebesgue space; generalized weighted Morrey space; BMO space; NORM INEQUALITIES; MAXIMAL OPERATOR; BOUNDEDNESS; HARDY;

D O I：

10.54379/JMA-2022-4-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we find the conditions for the boundedness of generalized fractional integrals I-rho and its commutators from the generalized weighted Morrey spaces M-omega 1(p,phi 1) (R-n) to the generalized weighted Morrey spaces M-omega 2(q,phi 2) (R-n) , where rho : (0, infinity) &-> (0, infinity) is a measurable function, (omega 1, omega 2) is an element of A(p,q)(R-n) and b is an element of BMO(R-n) .

引用

页码：1 / 14

页数：14

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