Weighted Hardy operators in local generalized Orlicz-Morrey spaces

被引：0

作者：

Aykol, c ^{[1
]}

Azizova, Z. O. ^{[2
]}

Hasanov, J. J. ^{[2
]}

机构：

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

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

来源：

CARPATHIAN MATHEMATICAL PUBLICATIONS | 2021年 / 13卷 / 02期

关键词：

weighted Hardy operator; local generalized Orlicz-Morrey space; local BMO space; MAXIMAL FUNCTIONS; INEQUALITIES;

D O I：

10.15330/cmp.13.2.522-533

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we find sufficient conditions on general Young functions (phi, psi) and the functions (phi 1, phi 2) ensuring that the weighted Hardy operators A(omega)(alpha) and A(omega)(alpha) are of strong type from a local generalized Orlicz-Morrey space M-phi phi 1(0, loc), (R-n) into another local generalized Orlicz-Morrey space M-Psi,M- (0, loc)(phi 2), (R-n). We also obtain the boundedness of the commutators of A(omega)(alpha) and A(omega)(alpha) from M-phi, phi 1(0, loc) (R-n) to M-psi, phi 2(0, loc)(R-n).

引用

页码：522 / 533

页数：12

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