22 citations · 217 across the 88 of their papers we have counts for
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Weight Hardy-Littlewood Inequalities for Different Powers
E. Ostrovsky, L. Sirota
In this short article we obtain the non-asymptotic upper and low estimations for linear and bilinear weight Riesz's functional through the Lebesgue spaces.
Poincaré Inequalities in Bilateral Grand Lebesgue Spaces
E. Ostrovsky, L. Sirota, E. Rogover
In this paper we obtain the non - asymptotic estimations of Poincare type between function and its gradient in the so - called Bilateral Grand Lebesgue Spaces. We also give some ex…
Riesz's and Bessel's Operators in Bilateral Grand Lebesgue Spaces
E. Ostrovsky, E. Rogover, L. Sirota
In this paper we obtain the non - asymptotic estimations for Riesz's and Bessel's potential integral operators in the so - called Bilateral Grand Lebesgue Spaces. We also give exam…
Oscillating Operators in Bilateral Grand Lebesgue Spaces
E. Ostrovsky, L. Sirota
In this paper we obtain the non - asymptotic estimations for oscillating integral operators in the so - called Bilateral Grand Lebesgue Spaces. We also give examples to show the sh…
Bilateral Small Lebesgue Spaces
Eugene Ostrovsky, Leonid Sirota
In this article we investigate the so-called Bilateral Small Lebesgue Spaces: prove that they are associated to the Grand Lebesgue spaces, calculate its fundamental functions and B…
Compact Sets in Bide - Side Grand Lebesgue Spaces, with Applications
Eugene Ostrovsky, Leonid Sirota
In this article we find some sufficient conditions for the set in the Bilateral Grand Lebesgue Space to be compact set. We consider applications into numerical methods and in the b…