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 6 Example when triangle inequality fails in weak $L^p$ spaces 5 estimate the max of a function using p-norm of the function and its derivative 5 sufficient conditions for being a PID 3 inserting absolute value in Hilbert transform and a discrete version of Hilbert transform 3 uniform bound for sine integral function

Reputation (341)

 +5 inserting absolute value in Hilbert transform and a discrete version of Hilbert transform +10 evaluating $\int_0^{k!}e^{i\frac{t^k}{k!}} dt$ +5 $\|f\|_2\le\|f\|_4^{\frac{2}{3}}\|f\|_1^{\frac{1}{3}}$ +5 an inequality in Banach algebra

 2 (complex measures) $d\nu=d\lambda +f\,dm \Rightarrow d|\nu|=d|\lambda| +|f|\,dm$ and $f\in L^1(\nu)\Rightarrow f\in L^1(|\nu|)$ 2 Proving an algebraic inequality 1 If $\nu$ is a complex measure, then $L^1(\nu) = L^1(|\nu|)$

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 5 real-analysis × 16 0 functional-analysis × 6 3 measure-theory × 8 0 harmonic-analysis × 6 2 integration × 2 0 lebesgue-measure × 5 2 derivatives 0 lebesgue-integral × 4 0 fourier-analysis × 11 0 inequality × 4

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 Mathematics 341 rep 213 MathOverflow 118 rep 5 English Language & Usage 115 rep 2

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