THE DIRICHLET PROBLEM FOR THE UNIFORMLY ELLIPTIC EQUATION IN GENERALIZED WEIGHTED MORREY SPACES

被引：2

作者：

Gadjiev, Tahir S. ^{[1
]}

Culiyev, Vacif S. ^{[1
,2
,3
]}

Suleymanova, Konul C. ^{[1
]}

机构：

[1] Inst Math & Mech, Baku, Azerbaijan

[2] Baku State Univ, Inst Appl Math, Baku, Azerbaijan

[3] Dumlupinar Univ, Dept Math, Kutahya, Turkey

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2020年 / 57卷 / 01期

关键词：

Generalized weighted Morrey spaces; uniformly higher-order elliptic equations; a priori estimates; commutators; VMO; SINGULAR INTEGRAL-OPERATORS; PARABOLIC EQUATIONS; MAXIMAL OPERATOR; BOUNDARY; COMMUTATORS; INEQUALITIES; BOUNDEDNESS; REGULARITY;

D O I：

10.1556/012.2020.57.1.1449

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain generalized weighted Sobolev-Morrey estimates with weights from the Muckenhoupt class A(p) by establishing boundedness of several important operators in harmonic analysis such as Hardy-Littlewood operators arid Calderon-Zygmund singular integral operators in generalized weighted Morrey spaces. As a consequence, a priori estimates for the weak solutions Dirichlet boundary problem uniformly elliptic equations of higher order in generalized weighted Sobolev-Morrey spaces in a smooth bounded domain Omega subset of R-n are obtained.

引用

页码：68 / 90

页数：23

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