Abstract
In this paper, we present generalizations of Beckner's inequality by using symmetric absolute normalized norms on $\mathbb{R}^2$.
Citation
Kichi-Suke Saito. Ryotaro Tanaka. "On generalized Beckner's inequality." Ann. Funct. Anal. 6 (1) 267 - 278, 2015. https://doi.org/10.15352/afa/06-1-20
Information
Published: 2015
First available in Project Euclid: 19 December 2014
zbMATH: 1330.46020
MathSciNet: MR3297802
Digital Object Identifier: 10.15352/afa/06-1-20
Subjects:
Primary:
46B20
Secondary:
46B99
Keywords:
Beckner's inequality
,
norm inequality
,
symmetric absolute normalized norm
Rights: Copyright © 2015 Tusi Mathematical Research Group
