A bilinear approach to cone multipliers II. Applications |
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Authors: | T. Tao A. Vargas |
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Affiliation: | (1) Department of Mathematics, UCLA, Los Angeles, CA 90024, USA, e-mail: tao@math.ucla.edu, US;(2) Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain, e-mail: ana.vargas@uam.es, ES |
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Abstract: | This paper is a continuation of [TV], in which new bilinear estimates for surfaces in 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 Schr?dinger equation in , and convolution with curves in . Submitted: September 1998, Revised version: January 1999. |
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