Higher-order interpolation inequalities with weights for radial functions

Ryo Takada, Keiji Yoneda

Research output: Contribution to journalArticlepeer-review

Abstract

We consider higher-order interpolation inequalities of the Gagliardo–Nirenberg type with power weights for radial functions. We show that those inequalities hold for a better range of admissible power weights if we restrict ourselves to the space of radially symmetric functions. The key of the proof is to reduce the problem to a radial improvement for the weighted Hardy–Littlewood–Sobolev inequalities.

Original languageEnglish
Article number112158
JournalNonlinear Analysis, Theory, Methods and Applications
Volume203
DOIs
Publication statusPublished - Feb 2021

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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