关于三角和与振荡积分的$L^p-L^q$有界性的几点注记
Some remarks on the $L^p-L^q$ boundedness of trigonometric sums and oscillatory integrals
摘要:
本文讨论了三角多项式L ^p-L ^q估计中最佳常数的渐近性态以及与非齐次Schrodinger方程解有关的积分算子的渐近性态。这使我们有机会回顾一些基本事实的振荡积分和稳定相位法,并作出一些评论,在连接与哈茨估计。
英文摘要:
We discuss the asymptotic behaviour for the best constant in L^p-L^q estimates for trigonometric polinomials and for an integral operator which is related to the solution of inhomogeneous Schrodinger equations. This gives us an opportunity to review some basic facts about oscillatory integrals and the method of stationary phase, and also to make some remarks in connection with Strichartz estimates.
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