Abstract.
This paper is a continuation of [TV], in which new bilinear estimates for surfaces in \( {\bold R}^3 \) were proven. We give a concrete improvement to the square function estimate of Mockenhaupt [M]. We apply these estimates to give new progress on several open problems concerning the wave and Schrödinger equation in \( {\bold R}^2+1 \), and convolution with curves in \( {\bold R}^3 \).
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Submitted: September 1998, Revised version: January 1999.
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Tao, T., Vargas, A. A bilinear approach to cone multipliers II. Applications . GAFA, Geom. funct. anal. 10, 216–258 (2000). https://doi.org/10.1007/s000390050007
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DOI: https://doi.org/10.1007/s000390050007