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.

Authors
Gadjiev T.1 , Galandarova S.1, 4 , Guliyev V. 1, 2, 3
Journal
Electronic Journal of Qualitative Theory of Differential Equations
Publisher
University of Szeged
Language
English
Status
Published
Link
External link
DOI
10.14232/ejqtde.2019.1.55
Number
55
Volume
2019
Year
2019
Organizations
  • 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
Keywords
Calderón; Commutators; Generalized Morrey spaces; Higher order elliptic equations; VMO; Zygmund integrals
Date of creation
24.12.2019
Date of change
24.12.2019
Short link
https://repository.rudn.ru/en/records/article/record/55506/
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