A uniform L∞ estimate of the smoothing operators related to plane curves
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.
Guo, Kanghui. "A Uniform L∞ Estimate of the Smoothing Operators Related to Plane Curves." Canadian Mathematical Bulletin 40, no. 4 (1997): 433-442.
Canadian Mathematical Bulletin