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The dirichlet problem in a class of generalized weighted morrey spaces  
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Mehriban N. Omarova
Institute of Mathematics and Mechanics Ministry of Science and Education Republic of Azerbaijan, Azerbaijan
Lubomira Softova
Università degli Studi di Salerno, Italy
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
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı Proceedings of the Institute of Mathematics and Mechanics
Dergi ISSN 2409-4986
Makale Dili İngilizce
Basım Tarihi 01-2019
Cilt No 45
Sayı 2
Sayfalar 270 / 285
Doi Numarası 10.29228/proc.8