Any Idea that help in solving this problem is Highly appreciated :)

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- Nov 28th 2011, 03:11 PMmia25Differential Operator Norm
Any Idea that help in solving this problem is Highly appreciated :)

- Nov 29th 2011, 06:13 AMgirdavRe: Differential Operator Norm
Consider a function smooth, such that \int_{\mathbb R}\phi^2(t)dt=1, and put . Then , but has a norm which cannot be bounded by a constant which doesn't depend on .

For the second problem, note that .