Radial Fourier multipliers in high dimensions

Yaryong Heo, Fëdor Nazarov, Andreas Seeger

    Research output: Contribution to journalArticlepeer-review

    34 Citations (Scopus)

    Abstract

    Given a fixed p≠2, we prove a simple and effective characterization of all radial multipliers of, provided that the dimension d is sufficiently large. The method also yields new Lq space-time regularity results for solutions of the wave equation in high dimensions.

    Original languageEnglish
    Pages (from-to)55-92
    Number of pages38
    JournalActa Mathematica
    Volume206
    Issue number1
    DOIs
    Publication statusPublished - 2011 Mar

    Bibliographical note

    Funding Information:
    Y. H. was supported by grants from the Korea Research Foundation and the National Research Foundation of Korea. F. N. and A. S. were supported in part by grants from the National Science Foundation.

    ASJC Scopus subject areas

    • General Mathematics

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