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Renormings of $L^p(L^q)$

R. Deville·R. Gonzalo·J. A. Jaramillo
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Abstract

We investigate the best order of smoothness of $L^p(L^q)$. We prove in particular that there exists a $C^\infty$-smooth bump function on $L^p(L^q)$ if and only if $p$ and $q$ are both even integers and $p$ is a multiple of $q$.

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R. Deville, R. Gonzalo, J. A. Jaramillo. 1998-04-01. Renormings of $L^p(L^q)$. https://doi.org/10.1017/s0305004198003119

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