Global Regularity in Generalized Morrey Spaces of Solutions to Nondivergence Elliptic Equations with VMO Coefficients
 
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Lubomira G. Softova
Università Degli Studi Della Campania Luigi Vanvitelli, İtalya
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı POTENTIAL ANALYSIS (Q1)
Dergi ISSN 0926-2601 Wos Dergi Scopus Dergi
Makale Dili İngilizce Basım Tarihi 04-2013
Cilt / Sayı / Sayfa 38 / 3 / 843–862 DOI 10.1007/s11118-012-9299-4
Özet
We show continuity in generalized Morrey spaces of sublinear integral operators generated by Caldern-Zygmund operator and their commutators with BMO functions. The obtained estimates are used to study global regularity of the solution of the Dirichlet problem for linear uniformly elliptic operators.
Anahtar Kelimeler
BMO | Calderón-Zygmund integrals and commutators | Dirichlet problem | Elliptic equations | Generalized Morrey spaces | Sublinear integrals | VMO