22 citations · 246 across the 78 of their papers we have counts for
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Individual lower bound for Calderon's generalized Lorentz norm estimates
E. Ostrovsky, L. Sirota
We find the exact values for constants in bilateral Calderon-Stein-Weiss inequalities between tail (Marcinkiewicz) norm and weak Lebesgue (Lorentz) norm. Possible applications: Fun…
A Banach rearrangement norm characterization for tail behavior of measurable functions (random variables)
E. Ostrovsky, L. Sirota
We construct a Banach rearrangement invariant norm on the measurable space for which the finiteness of this norm for measurable function (random variable) is equivalent to suitable…
Tchebyshev's characteristic of rearrangement invariant space
E. Ostrovsky, L. Sirota
We introduce and investigate in this short article a new characteristic of rearrangement invariant (r.i.) (symmetric) space, namely so-called Tchebychev's characteristic. We reveal…
Multiple weight Riesz and Fourier transforms in bilateral anisotropic Grand Lebesgue spaces
E. Ostrovsky, L. Sirota
In this short article we introduce so-called anisotropic (weight) Grand Lebesgue Spaces (more exactly, Grand Lebesgue-Riesz Spaces), which are generalization of the classical Lebes…
Tail estimates for martingale under "LLN" norming sequence
E. Ostrovsky, L. Sirota
In this paper non-asymptotic exponential and moment estimates are derived for tail of distribution for discrete time martingale under norming sequence 1/n, as in the classical Law…
Moment and tail estimates for martingales and martingale transform, with application to the martingale limit theorem in Banach spaces
E. Ostrovsky, L. Sirota
In this paper non-asymptotic exponential and moment estimates are derived for tail of distribution for discrete time martingale and martingale transform by means of martingale diff…