4 papers
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…
Asymptotic exponential bounds for MLE deviation under minimal conditions via classical and generic chaining methods
E. Ostrovsky, E. Rogover
In this paper non-asymptotic exact exponential estimates are derived (under minimal conditions) for the tail of deviation of the MLE distribution in the so-called natural terms: na…
Strichartz type Inequalities for Parabolic and Schrödinger Equations in rearrangement invariant Spaces
E. Ostrovsky, E. Rogover
In this paper we generalize the classical Strichartz estimation for solutions of initial problem for linear parabolic and Schrödinger PDE on many popular classes {\it pairs} of rea…