22 citations · 28 across the 7 of their papers we have counts for
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physics.data-an2010
Optimal adaptive multidimensional-time signal energy estimation on the background noise
Eugene Ostrovsky, Eugene Rogover, Leonid Sirota
We construct an adaptive asymptotically optimal in the classical norm of the space L(2,Ω) of square integrable random variables the Energy estimation of a signal (function) observe…
math.FA2010★ 1 cited
Exact constant in Sobolev's and Sobolev's trace inequalities for Grand Lebesgue Spaces
E. Ostrovsky, E. Rogover, L. Sirota
In this article we generalize the classical Sobolev's and Sobolev's trace inequalities on the Grand Lebesgue Spaces instead the classical Lebesgue Spaces. We will distinguish the c…
math.FA2010★ 1 cited
Wirtinger-type inequalities for some rearrangement invariant spaces
E. Ostrovsky, E. Rogover, L. Sirota
In this short paper we generalize the classical inequality between the norms in Lebesgue spaces of the functions and its derivatives, which in the multidimensional case are called…