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Research Article | Open Access

Sharp Adams type inequalities in Lorentz-Sobole space

Guanglan Wang, Yan Wu, Guoliang Li( )
School of Mathematics and Statistics, Linyi University, Linyi 276005, China
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Abstract

This article addresses several sharp weighted Adams type inequalities in Lorentz-Sobolev spaces by using symmetry, rearrangement and the Riesz representation formula. In particular, the sharpness of these inequalities were also obtained by constructing a proper test sequence.

Keywords

Adams type inequalitiesLorentz-Sobolev spaceMoser-Trudinger type inequalitiesHardy-Littlewood inequalityRiesz representation
CLC number: 35J20, 35J60

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AIMS Mathematics
Volume 8 Issue 9,
September 2023
Pages 22192-22206
DOI: 10.3934/math.20231131

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Cite this article:
Wang G, Wu Y, Li G. Sharp Adams type inequalities in Lorentz-Sobole space. AIMS Mathematics, 2023, 8(9): 22192-22206. https://doi.org/10.3934/math.20231131

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Received: 11 February 2023
Revised: 21 June 2023
Accepted: 25 June 2023
Published: 15 September 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)