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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