Volume integral means over spherical shell
Canadian mathematical bulletin, Tome 65 (2022) no. 1, pp. 180-197
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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.
Mots-clés :
Volume integral means, Bergman spaces, spherical shell, Hadamard product
Karapetrović, Boban. Volume integral means over spherical shell. Canadian mathematical bulletin, Tome 65 (2022) no. 1, pp. 180-197. doi: 10.4153/S0008439521000199
@article{10_4153_S0008439521000199,
author = {Karapetrovi\'c, Boban},
title = {Volume integral means over spherical shell},
journal = {Canadian mathematical bulletin},
pages = {180--197},
year = {2022},
volume = {65},
number = {1},
doi = {10.4153/S0008439521000199},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000199/}
}
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