|Date||Mar 09, 2016|
|Speaker||Lubomira G. Softova|
|Dept.||Second University of Naples|
We prove continuity in generalized Morrey spaces of sub-linear operators generated by the Calderón-Zygmund singular integrals with parabolic type kernel and com-mutators of these integrals with BMO functions. As a consequence we obtain global regularity of the strong solutions to the Cauchy - Dirichlet problem and the oblique derivative problem for linear uniformly parabolic equations with VMO coefficients.