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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