On the bochner-riesz means of critical order

E. R. Liflyand

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Stein's well-known logarithmic asymptotics of the Lebesgue constants of the Bochner-Riesz means of critical order is extended to Lebesgue constants of more general linear means of multiple Fourier series. These means are generated by certain class of functions supported in convex domains with boundaries of non-vanishing Gaussian curvature.

Original languageEnglish
Pages (from-to)1443-1450
Number of pages8
JournalProceedings of the American Mathematical Society
Volume125
Issue number5
DOIs
StatePublished - 1997

Keywords

  • Bochner-riesz means
  • Critical order
  • Lebesgue constants

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