On characterization of extremal sets of differentiation of integrals in ℝ2
Tóm tắt
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
(ℝ2), 1 ≤ p ≤ ∞, with respect to the basis of squares is obtained.
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