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A Uniform L∞ Estimate of the Smoothing Operators Related to Plane Curves

Published online by Cambridge University Press:  20 November 2018

Kanghui Guo
Kanghui Guo*
Affiliation:
Department of Mathematics, Southwest Missouri State University, Springfield, Missouri 65804, U.S.A., e-mail: kag026f@cnas.smsu.edutelephone: 417-836-6712
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Abstract

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In dealing with the spectral synthesis property for a plane curve with nonzero curvature, a key step is to have a uniform L∞ estimate for some smoothing operators related to the curve. In this paper, we will show that the same L∞ estimate holds true for a plane curve that may have zero curvature.

Keywords

Primary: 42B20secondary: 42B15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 40 , Issue 4 , 01 December 1997 , pp. 433 - 442
Copyright
Copyright © Canadian Mathematical Society 1997

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