Estimates for operators on generalized weighted Orlicz-Morrey spaces and their applications to non-divergence elliptic equations

We show continuity in generalized weighted Orlicz-Morrey spaces MwΦ,φ of sublinear 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. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Авторы
Guliyev V.S. 1, 2 , Omarova M.N.3, 4
Журнал
Издательство
Birkhauser Verlag AG
Номер выпуска
2
Язык
Английский
Статус
Опубликовано
Номер
40
Том
26
Год
2022
Организации
  • 1 Institute of Applied Mathematics, Baku State University, Baku, AZ 1148, Azerbaijan
  • 2 Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St., Moscow, 117198, Russian Federation
  • 3 Baku State University, Baku, AZ 1148, Azerbaijan
  • 4 Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, AZ 1141, Azerbaijan
Ключевые слова
Calderón-Zygmund integrals; Commutators; Dirichlet problem; Elliptic equations; Generalized weighted Orlicz-Morrey spaces; Muckenhoupt weight; Sublinear integrals; VMO
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