Boundedness of the anisotropic maximal and anisotropic singular integral operators in generalized Morrey spaces

被引：6

作者：

Guliyev, Vagif S. ^{[1
,2
]}

Mustafayev, Rza Ch. ^{[2
]}

机构：

[1] Ahi Evran Univ, Dept Math, TR-40200 Kirsehir, Turkey

[2] ANAS, Inst Math & Mech, Baku AZ1141, Azerbaijan

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2011年 / 27卷 / 12期

关键词：

Generalized Morrey spaces; anisotropic maximal operator; Hardy operator; anisotropic singular integral operator; SUFFICIENT CONDITIONS; DIFFERENTIAL-EQUATIONS; COEFFICIENTS; COMMUTATORS;

D O I：

10.1007/s10114-011-9516-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we give the conditions on the pair (omega (1), omega (2)) which ensures the boundedness of the anisotropic maximal operator and anisotropic singular integral operators from one generalized Morrey space M-p,M-omega 1 to another M-p,M-omega 2, 1 < p < infinity, and from the space M-1,M-omega 1 to the weak space WM1,omega 2.

引用

页码：2361 / 2370

页数：10

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