Abstract
Our aim in this paper is to establish Hardy-Sobolev inequality in the settings of Herz spaces. As an application, we show Sobolev-type integral representation for a $C^1$-function on ${\mathbb R}^N \setminus \{0\}$ which vanishes outside the unit ball.
Citation
Yoshihiro Mizuta. Tetsu Shimomura. "Hardy-Sobolev inequality in Herz spaces." Tohoku Math. J. (2) 74 (2) 287 - 300, 2022. https://doi.org/10.2748/tmj.20210120b
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