Journals / Turkish Journal of Mathematics / 2010 / Cilt: 34 - Sayı: 2

Structural properties of Bilateral Grand Lebesque Spaces

Pages
207–219
DOI
—

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.

Özet

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.