On Lakshmikantham's comparison method for Gronwall inequalities
Some conditions for existence of Lipschitz selections of multifunctions with decomposable values are given.
This paper is devoted to research on local properties of functions and multidimensional singular integrals in terms of their mean oscillation. The conditions guaranteeing existence of a derivative in the L p-sense at a given point are found. Spaces which remain invariant under singular integral operators are considered.