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We obtain continuity in generalized parabolic Morrey spaces of sublinearintegrals generated by the parabolic Calder\'{o}n-Zygmund operators and itscommutator with $VMO$ functions. The obtained estimates are used to studyglobal regularity of the solutions of the Cauchy-Dirichlet problem for linearuniformly parabolic equations with discontinuous coefficients.

Generalized Morrey regularity for parabolic equations with discontinuity data