Thursday, December 21, 2017

real analysis - $lim_{pto infty}Vert fVert_{p}=Vert fVert_{infty}$?








On the $L_p$ spaces, when is $$\lim_{p\to \infty}\| f\|_{p}=\| f\|_{\infty}$$ true? Or what condition is necessary for this?

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