If $1 \leq r < \infty$, and $g$ belongs to $L_r ([0,1])$. We need to determine values of $p$ and $q$ where $1 \leq p,q < \infty$, the operator $T_g: L^p([0,1]) \to L^q([0,1])$ is bounded, where $T_g(f)=gf$ ??
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2026-04-06 07:08:24.1775459304
What conditions on $p$ and $q$ to for which the operator $T_g: L^p([0,1]) \to L^q([0,1])$ is bounded, where $T_g(f)=gf$
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