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Results tagged with oscillatory-integral
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user 512768
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$L^\infty-L^1$ norm of an oscillatory integral operator
Let $\lambda>1$, $x,y\in [0,1]$, and $K_\lambda(x,y)=(1+\lambda|x-y|)^{-2}e^{i\lambda|x-y|}$. Consider the operator
$$T_\lambda f(x)=\int_0^1 K_\lambda(x,y)f(y)dy.$$
We want to precisely estimate the …
- 31