Radial Fourier multipliers in high dimensions

Yaryong Heo, Fëdor Nazarov, Andreas Seeger

Research output: Contribution to journalArticle

20 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 1

ASJC Scopus subject areas

  • Mathematics(all)

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