Global regularity in Orlicz-Morrey spaces of solutions to parabolic equations with VMO coefficients

摘要

We show continuity in generalized parabolic Orlicz-Morrey spaces M Phi,phi of sublinear integral operators generated by parabolic Calderon-Zygmund operator and their commutators with BMO functions. As a consequence, we obtain a global M Phi,phi-regularity result for the Cauchy-Dirichlet problem for linear uniformly parabolic equations with vanishing mean oscillation coefficients.