On sharp bilinear Strichartz estimates of Ozawa–Tsutsumi type
نویسندگان
چکیده
منابع مشابه
Orthogonal Polynomials and Sharp Strichartz Estimates
Orthogonal polynomials have been used to produce sharp estimates in Harmonic Analysis in several instances. The first most notorious and original use was in Beckner’s thesis [1], where he proved the sharp Hausdorff-Young inequality using Hermite polynomial expansions. More recently, Foschi [4] used spherical harmonics and Gegenbauer polynomials in his proof of the sharp Tomas-Stein adjoint Four...
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Recently Foschi gave a proof of a sharp Strichartz inequality in one and two dimensions. In this note, a new representation in terms of an orthogonal projection operator is obtained for the space time norm of solutions of the free Schrödinger equation in dimension one and two. As a consequence, the sharp Strichartz inequality follows from the elementary property that orthogonal projections do n...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 2017
ISSN: 0025-5645
DOI: 10.2969/jmsj/06920459