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.

DOI

10.3906/mat-0812-8

Keywords

Grand Lebesgue and rearrangement invariant spaces, Sobolev embedding theorem, convolution operator.

First Page

207

Last Page

220

Recommended Citation

LIFLYAND, E, OSTROVSKY, E, & SIROTA, L (2010). Structural properties of Bilateral Grand Lebesque Spaces. Turkish Journal of Mathematics 34 (2): 207-220. https://doi.org/10.3906/mat-0812-8

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