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Research Article | Open Access

A simple proof of the refined sharp weighted Caffarelli-Kohn-Nirenberg inequalities

Steven Kendell, Nguyen Lam( ), Dylan Smith, Austin White, Parker Wiseman
School of Science & Environment, Grenfell Campus, Memorial University of Newfoundland, Corner Brook, NL A2H5G4, Canada
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Abstract

We provided a simple and direct proof of an improved version of the main results of the paper by Catrina and Costa (2009).

Keywords

uncertainty principleCaffarelli-Kohn-Nirenberg inequalitiessharp constantsoptimizers
CLC number: 26D10, 35J20

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 27983-27988
DOI: 10.3934/math.20231431

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Cite this article:
Kendell S, Lam N, Smith D, et al. A simple proof of the refined sharp weighted Caffarelli-Kohn-Nirenberg inequalities. AIMS Mathematics, 2023, 8(11): 27983-27988. https://doi.org/10.3934/math.20231431

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Received: 04 July 2023
Revised: 16 August 2023
Accepted: 05 October 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)