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

Authors

  • 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

Keywords:

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.

 

Issue
Vol. 46 No. 2 (2021)
Section
Articles

Published

2021-08-20

How to Cite

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. Retrieved from https://afm.journal.fi/article/view/110940

Copyright (c) 2021 The Finnish Mathematical Society

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.