Regularity in generalized Morrey spaces of solutions to higher order nondivergence elliptic equations with VMO coefficients

We study the boundedness of the sublinear integral operators generated by Calderón–Zygmund operator and their commutators with BMO functions on generalized Morrey spaces. These obtained estimates are used to get regularity of the solution of Dirichlet problem for higher order linear elliptic operators. © 2019, University of Szeged. All rights reserved.

Авторы
Gadjiev T.1 , Galandarova S.1, 4 , Guliyev V. 1, 2, 3
Журнал
Electronic Journal of Qualitative Theory of Differential Equations
Издательство
University of Szeged
Язык
Английский
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.14232/ejqtde.2019.1.55
Номер
55
Том
2019
Год
2019
Организации
  • 1 Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, AZ1141, Azerbaijan
  • 2 Dumlupinar University, Department of Mathematics, Kutahya, 43100, Turkey
  • 3 S. M. Nikolskii Institute of Mathematics at RUDN University, Moscow, 117198, Russian Federation
  • 4 Azerbaijan State University of Economics (UNEC), Baku, AZ1141, Azerbaijan
Ключевые слова
Calderón; Commutators; Generalized Morrey spaces; Higher order elliptic equations; VMO; Zygmund integrals
Дата создания
24.12.2019
Дата изменения
24.12.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/55506/
Поделиться

Другие записи