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Published online by Cambridge University Press: 12 April 2021
We investigate integral means over spherical shell of holomorphic functions in the unit ball
$\mathbb {B}_n$
of
$\mathbb {C}^n$
with respect to the weighted volume measures and their relation with the weighted Hadamard product. The main result of this paper has many consequences which improve some well-known estimates related to the Hadamard product in Hardy spaces and weighted Bergman spaces.