Sharp Adams type inequalities in Lorentz-Sobole space

Guanglan Wang; Yan Wu; Guoliang Li; Guanglan Wang; Yan Wu; Guoliang Li

doi:10.3934/math.20231131

AIMS Mathematics

2023, Volume 8, Issue 9: 22192-22206. doi: 10.3934/math.20231131

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Sharp Adams type inequalities in Lorentz-Sobole space

School of Mathematics and Statistics, Linyi University, Linyi 276005, China

Received: 11 February 2023 Revised: 21 June 2023 Accepted: 25 June 2023 Published: 12 July 2023
MSC : 35J20, 35J60

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.
- Adams type inequalities,
- Lorentz-Sobolev space,
- Moser-Trudinger type inequalities,
- Hardy-Littlewood inequality,
- Riesz representation
Citation: Guanglan Wang, Yan Wu, Guoliang Li. Sharp Adams type inequalities in Lorentz-Sobole space[J]. AIMS Mathematics, 2023, 8(9): 22192-22206. doi: 10.3934/math.20231131

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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.

References

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