The dirichlet problem in a class of generalized weighted morrey spaces
   
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Dumlupinar Üniversitesi, Türkiye
Mehriban N. Omarova
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Lubomira Softova
Università Degli Studi Di Salerno, İtalya
Makale Türü Açık Erişim Özgün Makale (ESCI dergilerinde yayınlanan tam makale)
Dergi Adı Proceedings of the Institute of Mathematics and Mechanics
Dergi ISSN 2409-4986 Wos Dergi Scopus Dergi
Makale Dili İngilizce Basım Tarihi 01-2019
Cilt / Sayı / Sayfa 45 / 2 / 270–285 DOI 10.29228/proc.8
Makale Linki https://doi.org/10.29228/proc.8
Özet
We show continuity in generalized weighted Morrey spaces Mp,φ (w) of sub-linear 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.
Anahtar Kelimeler
BMO | Calderón-Zygmund integrals | Commutators | Dirichlet problem | Elliptic equations | Generalized weighted Morrey spaces | Muckenhoupt weight | Sublinear integrals | VMO