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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, 42b15 show english descriptions unknown classification 42b20
unknown classification 42b15
42b20 - unknown classification 42b20
42b15 - unknown classification 42b15
 

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