Title of article :
Structural properties of Bilateral Grand Lebesque Spaces
Author/Authors :
Liflyand, E. Bar-Ilan University - Department of Mathematics, ISRAEL , Ostrovsky, E. Bar-Ilan University - Department of Mathematics, ISRAEL , Sirota, L. Bar-Ilan University - Department of Mathematics, ISRAEL
Abstract :
In this paper we study the multiplicative, tensor, Sobolev and convolution inequalities in certain Banach spaces, the so-called Bilateral Grand Lebesque Spaces. We also give examples to show the sharpness of these inequalities when possible.
Keywords :
Grand Lebesgue and rearrangement invariant spaces , Sobolev embedding theorem , convolution operator.
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
