Good books on the relationship between function spaces $C^m([0,T],H^k(\Omega))$ and $C^r([0,T]\times\Omega)$ in details?

Good books on the relationship between function spaces $C^m([0,T],H^k(\Omega))$ and $C^r([0,T]\times\Omega)$ in details? I realy want to learn some knowledge on this kind of function spaces, but I can't find a good book in which the above content be introduced in details! :-)

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