Guliyev, VagifAhmadli, AyselOmarova, MehribanSoftova, Lubomira G.2022-02-022022-02-022018-05-10Guliyev, V. S., Ahmadli, A. A., Omarova, M. N., & Softova, L. (2018). Global regularity in Orlicz-Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients. <i>Electronic Journal of Differential Equations, 2018</i>(110), pp. 1-24.1072-6691https://hdl.handle.net/10877/15277We show continuity in generalized Orlicz-Morrey spaces MΦ,φ(ℝn) of sublinear integral operators generated by Calderón-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 operator L = ∑ni,j=1 a ij(x)Dij with discontinuous coefficients. We show that Lu ∈ MΦ,φ implies the second-order derivatives belong to MΦ,φ.Text24 pages1 file (.pdf)enAttribution 4.0 InternationalGeneralized Orlicz-Morrey spacesCalderon-Zygmund integralsCommutatorsVMOElliptic equationsDirichlet problemArticle