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.

Authors
Guliyev V.S. 1, 2 , Omarova M.N.3, 4
Journal
Positivity
Publisher
Birkhauser Verlag AG
Number of issue
2
Language
English
Status
Published
Link
External link
DOI
10.1007/s11117-022-00896-z
Number
40
Volume
26
Year
2022
Organizations
  • 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
Keywords
Calderón-Zygmund integrals; Commutators; Dirichlet problem; Elliptic equations; Generalized weighted Orlicz-Morrey spaces; Muckenhoupt weight; Sublinear integrals; VMO
Date of creation
06.07.2022
Date of change
06.07.2022
Short link
https://repository.rudn.ru/en/records/article/record/83700/
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