On the bochner-riesz means of critical order

E. R. Liflyand

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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
Issue number5
StatePublished - 1997


  • Bochner-riesz means
  • Critical order
  • Lebesgue constants


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