Annals of Functional Analysis

On generalized Beckner's inequality

Kichi-Suke Saito and Ryotaro Tanaka

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Abstract

In this paper, we present generalizations of Beckner's inequality by using symmetric absolute normalized norms on $\mathbb{R}^2$.

Article information

Source
Ann. Funct. Anal., Volume 6, Number 1 (2015), 267-278.

Dates
First available in Project Euclid: 19 December 2014

Permanent link to this document
https://projecteuclid.org/euclid.afa/1419001465

Digital Object Identifier
doi:10.15352/afa/06-1-20

Mathematical Reviews number (MathSciNet)
MR3297802

Zentralblatt MATH identifier
1330.46020

Subjects
Primary: 46B20
Secondary: 46B99: None of the above, but in this section

Keywords
Beckner's inequality symmetric absolute normalized norm norm inequality

Citation

Saito, Kichi-Suke; Tanaka, Ryotaro. On generalized Beckner's inequality. Ann. Funct. Anal. 6 (2015), no. 1, 267--278. doi:10.15352/afa/06-1-20. https://projecteuclid.org/euclid.afa/1419001465


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References

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Duke University Press

Annals of Functional Analysis

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