On local smoothing problems and stein’s maximal spherical means

Changxing Miao, Jianwei Yang, Jiqiang Zheng

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

It is proved that the local smoothing conjecture for wave equations implies certain improvements on Stein’s analytic family of maximal spherical means. Some related problems are also discussed.

Original languageEnglish
Pages (from-to)4269-4282
Number of pages14
JournalProceedings of the American Mathematical Society
Volume145
Issue number10
DOIs
Publication statusPublished - 2017
Externally publishedYes

Keywords

  • Local smoothing
  • Maximal spherical means
  • Oscillatory integral
  • Wave equation

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