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 language | English |
---|---|
Pages (from-to) | 1443-1450 |
Number of pages | 8 |
Journal | Proceedings of the American Mathematical Society |
Volume | 125 |
Issue number | 5 |
DOIs | |
State | Published - 1997 |
Keywords
- Bochner-riesz means
- Critical order
- Lebesgue constants