Yoshihiro Mizuta, Tetsu Shimomura
Abstract
Abstract Our aim in this paper is to establish Hardy–Sobolev inequality for Sobolev functions in central Herz–Morrey spaces. As an application, we are concerned with Sobolev‐type integral representation for a C1‐function on which vanishes on the unit ball.
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Abstract Our aim in this paper is to establish Hardy–Sobolev inequality for Sobolev functions in central Herz–Morrey spaces. As an application, we are concerned with Sobolev‐type integral representation for a C1‐function on which vanishes on the unit ball.
Key concepts: Mathematics, Sobolev space, Sobolev inequality, Unit sphere, Mathematical analysis, Ball (mathematics), Pure mathematics