Hardy–Sobolev inequalities for Sobolev functions in central Herz–Morrey spaces on the unit ball

Författare

  • Yoshihiro Mizuta Hiroshima University, Graduate School of Advanced Science and Engineering, Department of Mathematics
  • Tetsu Shimomura Hiroshima University, Graduate School of Humanities and Social Sciences, Department of Mathematics

Nyckelord:

Hardy-Sobolev inequality, central Herz-Morrey spaces, Riesz potentials

Abstract

Our aim in this paper is to establish Hardy-Sobolev inequalities for Sobolev functions and generalized Riesz potentials in central Herz-Morrey spaces on the unit ball. As an application, we obtain norm inequalities for Green potentials.

 

Nummer
Vol 46 Nr 2 (2021)
Sektion
Articles

Publicerad

2021-08-20

Referera så här

Mizuta, Y., & Shimomura, T. (2021). Hardy–Sobolev inequalities for Sobolev functions in central Herz–Morrey spaces on the unit ball. Annales Fennici Mathematici, 46(2), 1031–1052. Hämtad från https://afm.journal.fi/article/view/110940

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