THE DIRICHLET PROBLEM IN A CLASS OF GENERALIZED WEIGHTED MORREY SPACES

被引：0

作者：

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

Omarova, Mehriban N. ^{[2
,3
]}

Softova, Lubomira ^{[4
]}

机构：

[1] Dumlupinar Univ, Dept Math, TR-43100 Kutahya, Turkey

[2] NAS Azerbaijan, Inst Math & Mech, Baku, Azerbaijan

[3] Baku State Univ, AZ-1148 Baku, Azerbaijan

[4] Univ Salerno, Dept Math, Fisciano, Italy

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2019年 / 45卷 / 02期

关键词：

Generalized weighted Morrey spaces; Muckenhoupt weight; sublinear integrals; Calderon-Zygmund integrals; commutators; BMO; VMO; elliptic equations; Dirichlet problem; NONDIVERGENCE ELLIPTIC-EQUATIONS; SUBLINEAR-OPERATORS; COMMUTATORS; REGULARITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show continuity in generalized weighted Morrey spaces M-p,M-phi(w) of sub-linear integral operators generated by some classical integral operators and commutators. The obtained estimates are used to study global regularity of the solution of the Dirichlet problem for linear uniformly elliptic operators with discontinuous data.

引用

页码：270 / 285

页数：16

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