GLOBAL REGULARITY IN PARABOLIC WEIGHTED ORLICZ-MORREY SPACES OF SOLUTIONS TO PARABOLIC EQUATIONS WITH VMO COEFFICIENTS

被引：0

作者：

Omarova, Mehriban N. ^{[1
,2
]}

机构：

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

[2] NAS Azerbaijan, Inst Math & Mech, AZ-1141 Baku, Azerbaijan

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2024年 / 18卷 / 03期

关键词：

Parabolic generalized weighted Orlicz-Morrey spaces; parabolic Calderon- Zygmund integrals; parabolic nonsingular integral; commutators; VMO; parabolic equations; Cauchy- Dirichlet problem; NONDIVERGENCE ELLIPTIC-EQUATIONS; SINGULAR INTEGRAL-OPERATORS; DIRICHLET PROBLEM; MAXIMAL OPERATOR; COMMUTATORS; BOUNDEDNESS;

D O I：

10.7153/jmi-2024-18-47

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show continuity in parabolic generalized weighted Orlicz-Morrey spaces M Phi,phi sublinear integral operators generated by parabolic singular and nonsingular operators and their commutators with BMO functions. The obtained estimates are used to study global regularity of the solution of the Cauchy-Dirichlet problem for linear uniformly parabolic operators of second order with discontinuous data.

引用

页码：865 / 893

页数：29

共 48 条

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