Spaceability of sets of nowhere $L^q$ functions

Pedro L. Kaufmann, Leonardo Pellegrini

We say that a function $f:[0,1]\to \mathbb{R}$ is \emph{nowhere $L^q$} if, for each nonvoid open subset $U$ of $[0,1]$, the restriction $f{|}_U$ is not in $L^q(U)$. For a fixed $1 \l…