Pull back of a Bounded form

MathOverflow Asked by Kamel on January 5, 2022

Let $(X, omega) $ be a complex manifold and let $alpha $ be a $p$-form $omega$-bounded on $X$.
Let $f:Yto X$ be a holomorphic function.

Is $f^*alpha$ $f^*(omega)$-bounded on $Y$ ?

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