Lemma 40.4.5.label Let $f \in H^{\infty}(D)$ and $M_{f} \in B(H^{2}(D))$ be the multiplication map $g \mapsto fg$, then $\norm{f}_{H^\infty(D)}= \norm{M_f}_{B(H^2(D))}$.
Lemma 40.4.5.label Let $f \in H^{\infty}(D)$ and $M_{f} \in B(H^{2}(D))$ be the multiplication map $g \mapsto fg$, then $\norm{f}_{H^\infty(D)}= \norm{M_f}_{B(H^2(D))}$.
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