Bochner-Riesz means associated with conical surfaces

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    3 Citations (Scopus)

    Abstract

    Let d 1 and d 2 be two nonnegative integers greater than 2. We study the Fourier multiplier T λ associated with a conical surface S=defined by is a smooth function defined on R, that is supported in (1/2, 2).

    Original languageEnglish
    Pages (from-to)715-729
    Number of pages15
    JournalJournal of Mathematical Analysis and Applications
    Volume397
    Issue number2
    DOIs
    Publication statusPublished - 2013 Jan 15

    Bibliographical note

    Funding Information:
    The author would like to thank the referee for the careful reading and suggestions to improve the presentation of the work. This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2012R1A1A1011889 ).

    Keywords

    • Bochner-Riesz means
    • Cone multiplier
    • Fourier multipliers

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

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