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# A uniform $L^{\infty}$ estimate of the smoothing operators related to plane curves

Published:1997-12-01
Printed: Dec 1997
• Kanghui Guo
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## 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 42b2042b15 - unknown classification 42b15