On Saturation Problems for Riemann-Liouville OperatorsThe problem of
convergence almost everywhere and in weighted Lebesgue norms to the identity
О Λ-СХОДИМОСТИ ПОЧТИ ВСЮДУ ДВОЙНЫХ РЯДОВ ФУРЬЕ convergence
over squares and λ-
convergence for λ > 1. The well-known result on the
convergence almost О СХОДИМОСТИ ПОЧТИ ВСЮДУ ОРТОРЕКУРСИВНЫХ РАЗЛОЖЕНИЙ
ПО СИСТЕМАМ СЖАТИЙ И СДВИГОВ
and A.V. Politov, but the the results on the
convergence almost everywhere were lacking. In this
paper
Properties and Applications of the Distance Functions on Open Sets of the Euclidean Space of the corresponding sequences of distance functions from boundary as well as
convergence almost everywhere A Strong Form of Hardy Type Inequalities on Domains of the Euclidean Space as about
convergence almost everywhere for their gradients. In the proofs we also use some basic theorems
Elliptic Differential-Difference Equations in the Half-Space, classical solvability or solvability
almost everywhere (depending on the constraints imposed on the boundary
On the convergence in law of almost all sums of independent random variables convergence of weighted sums, for
almost all coefficients, to some infinitely divisible distribution