For question involving Bochner space, which are generalization $\mathbb L^p$ spaces in the sense that the values of the functions are themselves in function spaces.
Questions tagged [bochner-spaces]
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Relation between bochner space $L^1(I,X)$ and $C(I,X)$
I am new in Bochner spaces and I have the following problem. I am not able to prove, that if $u \in L^1((0,1),X),u' \in L^1((0,1),X) $ then $u \in C([0,1],X)$, where $X$ is Banach space and $L^1((0,1),X) $ Bochner space.
lojdmoj
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