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A uniform $L^{\infty}$ estimate of the smoothing operators related to plane curves |
Canad. Math. Bull. 40(1997), 433-442
Published:1997-12-01
Printed: Dec 1997
Printed: Dec 1997
- Kanghui Guo
Abstract
In dealing with the spectral synthesis property for a plane curve with
nonzero curvature, a key step is to have a uniform $L^{\infty}$ estimate
for some smoothing operators related to the curve. In this paper, we will
show that the same $L^{\infty}$ estimate holds true for a plane curve
that may have zero curvature.
| MSC Classifications: |
42b20 - unknown classification 42b20 42b15 - unknown classification 42b15 |