On The Babenko-Bechner-Type Inequality associated with the Weinstein Operator
Meniar Haddad, Wafa Djobbi
TL;DR
This paper investigates a specific inequality related to the Fourier Weinstein transform and uses it to derive a new version of Young's inequality, advancing mathematical understanding of these operators.
Contribution
The paper introduces a Babenko-Bechner-type inequality for the Fourier Weinstein transform and establishes a novel Young's type inequality based on it.
Findings
Established a Babenko-Bechner-type inequality for the Weinstein operator
Derived a new version of Young's inequality using this inequality
Enhanced theoretical understanding of Fourier Weinstein transform properties
Abstract
In this paper, we study the Babenko-Bechner-type inequality for the Fourier Weinstein transform associated with the Weinstein operator. We use this inequality to establish a new version of Young's type inequality.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Mathematical Analysis and Transform Methods · Holomorphic and Operator Theory