Structural properties of Bilateral Grand Lebesque Spaces

Authors: E. LIFLYAND, E. OSTROVSKY, L. SIROTA

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.

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