On Characterization of Extremal Sets of Differentiation of Integrals in R~2

摘要

The paper considers a question of characterization of the sets of nondifferentiability points of integrals with respect to the bases of rectangles and squares. In particular, a complete characterization of uncertainty sets for the integrals of functions from L~p(R~2), 1 ≤ p ≤ ∞, with respect to the basis of squares is obtained.