Structural properties of Bilateral Grand Lebesque spaces

E. Liflyand; E. Ostrovsky; L. Sirota

doi:10.3906/mat-0812-8

Structural properties of Bilateral Grand Lebesque spaces

E. Liflyand
, E. Ostrovsky
, L. Sirota

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

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.

Original language	English
Pages (from-to)	207-220
Number of pages	14
Journal	Turkish Journal of Mathematics
Volume	34
Issue number	2
DOIs	https://doi.org/10.3906/mat-0812-8
State	Published - Jun 2010

Keywords

Convolution operator
Grand Lebesgue and rearrangement invariant spaces
Sobolev embedding theorem

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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.",

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author = "E. Liflyand and E. Ostrovsky and L. Sirota",

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KW - Convolution operator

KW - Grand Lebesgue and rearrangement invariant spaces

KW - Sobolev embedding theorem

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Structural properties of Bilateral Grand Lebesque spaces

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Keywords

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