Weighted Norm Inequalities for Convolution and Riesz Potential

Erlan Nursultanov, Sergey Tikhonov

    Research output: Contribution to journalArticleResearchpeer-review

    7 Citations (Scopus)

    Abstract

    © 2014, Springer Science+Business Media Dordrecht. In this paper, we prove analogues of O’Neil’s inequalities for the convolution in the weighted Lebesgue spaces. We also establish the weighted two-sided norm inequalities for the potential operator.
    Original languageEnglish
    Pages (from-to)435-456
    JournalPotential Analysis
    Volume42
    Issue number2
    DOIs
    Publication statusPublished - 1 Jan 2014

    Keywords

    • Convolution
    • Lorentz spaces
    • O’Neil-type inequalities
    • Riesz potential operator
    • Weights

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