On the Bochner-Riesz means of critical order

Liflyand, E.

doi:10.1090/S0002-9939-97-03742-8

On the Bochner-Riesz means of critical order
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Proc. Amer. Math. Soc. 125 (1997), 1443-1450 Request permission

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.

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