Trace Hardy-Sobolev-Maz'ya inequalities on half space and sharp constant in dimension two

Trace Hardy-Sobolev-Maz'ya inequalities on half space and sharp constant in dimension two

The main purpose of this paper is to establish trace Hardy-Sobolev-Maz'ya inequalities on half space. In case n=2, we show that the sharp constant coincides with the best trace Sobolev constant. This is an analogous result to that of the sharp constant in the n−12-th order Hardy-Sobolev-Maz...

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Veröffentlicht in:Journal of mathematical analysis and applications 2022-12, Vol.516 (1), p.126488, Article 126488
Hauptverfasser: Dan, Su, Yang, Qiaohua
Format: Artikel
Sprache:eng
Schlagworte:
Half space
Hardy inequality
Sharp constant
Trace Sobolev inequality
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Zusammenfassung:The main purpose of this paper is to establish trace Hardy-Sobolev-Maz'ya inequalities on half space. In case n=2, we show that the sharp constant coincides with the best trace Sobolev constant. This is an analogous result to that of the sharp constant in the n−12-th order Hardy-Sobolev-Maz'ya inequality in the half space of dimension n when n is odd.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2022.126488