# Pull back of a Bounded form

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 $$Y$$ ?

MathOverflow Asked by Kamel on January 5, 2022

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