Relation between $L^{\infty}$ and $C^{0,\alpha}(\bar{\Omega})$

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i was studying the Morrey Theorem about Sobolev Inequalities and i have a doubt: I found out about an embending from W^{1,p} to $L^{\infty}$ and an embending from W^{1,p} to $C^{0,\alpha}(\bar{\Omega})$ looking for Morrey result, what is the relation between these spaces? $C^{0,\alpha}(\bar{\Omega})$ is the set of functions $u \in C(\bar{\Omega})$ which are $\alpha$-Holderian. Thanks