Structural properties of Bilateral Grand Lebesque Spaces

Authors

E. LIFLYAND
E. OSTROVSKY
L. SIROTA

DOI

10.3906/mat-0812-8

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.

First Page

207

Last Page

220

Recommended Citation

LIFLYAND, E.; OSTROVSKY, E.; and SIROTA, L. (2010) "Structural properties of Bilateral Grand Lebesque Spaces," Turkish Journal of Mathematics: Vol. 34: No. 2, Article 6. https://doi.org/10.3906/mat-0812-8
Available at: https://journals.tubitak.gov.tr/math/vol34/iss2/6