22 citations · 217 across the 88 of their papers we have counts for
4 papers · 2 filters
A note about associate and dual spaces to the Grand Lebesgue ones
E. Ostrovsky, L. Sirota
We describe in this short article the associate and dual (conjugate) spaces to the Grand Lebesgue Spaces by means of its embedding to the suitable exponential Orlicz ones.
Fourier transform acting on the functions defined in the infinite LCA groups. A Grand Lebesgue Spaces approach
E. Ostrovsky, L. Sirota
We derive in this article the exact norm in the Grand Lebesgue Spaces (GLS) estimates for Fourier transform acting on the functions defined in the infinite local compact Abelian (L…
Maximal and other operators in exponential Orlicz and Grand Lebesgue Spaces
E. Ostrovsky, L. Sirota
We derive in this preprint the exact up to multiplicative constant non-asymptotical estimates for the norms of some non-linear in general case operators, for example, the so-called…
Relations between exponential tails, moments and moment generating functions for random variables and vectors
Yu. V. Kozachenko, E. Ostrovsky, L. Sirota
We offer in this paper the non-asymptotical pairwise bilateral exact up to multiplicative constants interrelations between exponential decreasing tail behavior, moments (Grand Lebe…