22 citations · 217 across the 88 of their papers we have counts for
5 papers · 2 filters
Fourier Series and Transforms in Grand Lebesgue Spaces As an particular case - exponential Orlicz spaces
E. Ostrovsky, L. Sirota
In this article we investigate the Fourier series and transforms for the functions defined on the [-pi, pi]^ d or on the R^d and belonging to the (Bilateral) Grand Lebesgue Spaces.…
Module of continuity for the functions belonging to the Sobolev-Grand Lebesgue Spaces
Ostrovsky E., Sirota L
In this short article we generalize the Sobolev's inequalities for the module of continuity for the functions belonging to the classical Lebesgue space on the (Bilateral) Grand Leb…
Besov's Type Embedding Theorem for Bilateral Grand Lebesgue Spaces
E. Ostrovsky, L. Sirota
In this paper we obtain the non-asymptotic norm estimations of Besov's type between the norms of a functions in different Bilateral Grand Lebesgue spaces (BGLS). We also give some…
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…
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…