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- W2247396041 abstract "Let $,T^{j,k}_{N}:L^{p}(B), rightarrow,L^{q}([0,1]),$ be the oscillatory integral operators defined by $;displaystyle T^{j,k}_{N}f(s):=int_{B} ,f(x),e^{imath N{|x|}^{j}s^{k}},dx, quad (j,k)in{1,2}^{2},,$ where $,B,$ is the unit ball in ${mathbb{R}}^{n},$ and $,N,>>1.$ We compare the asymptotic behaviour as $,Nrightarrow +infty,$ of the operator norms $,parallel T^{j,k}_{N} parallel_ {L^{p}(B)rightarrow L^{q}([0,1])},$ for all $,p,,qin [1,+infty].,$ We prove that, except for the dimension $n=1,,$ this asymptotic behaviour depends on the linearity or quadraticity of the phase in $s$ only. We are led to this problem by an observation on inhomogeneous Strichartz estimates for the Schr{o}dinger equation." @default.
- W2247396041 created "2016-06-24" @default.
- W2247396041 creator A5005236862 @default.
- W2247396041 date "2015-07-13" @default.
- W2247396041 modified "2023-09-27" @default.
- W2247396041 title "$L^p$-$L^q$ boundedness of integral operators with oscillatory kernels: Linear versus quadratic phases" @default.
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