Derivatives of Blaschke products whose zeros lie in a Stolz domain and weighted Bergman spaces

Reijonen, Atte

doi:10.1090/proc/13791

Derivatives of Blaschke products whose zeros lie in a Stolz domain and weighted Bergman spaces
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by Atte Reijonen

Proc. Amer. Math. Soc. 146 (2018), 1173-1180

DOI: https://doi.org/10.1090/proc/13791

Published electronically: October 6, 2017

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Abstract:

For a Blaschke product $B$ whose zeros lie in a Stolz domain, we find a condition regarding $\omega$ which guarantees that $B’$ belongs to the Bergman space $A^p_\omega$. In addition, the sharpness of this condition is considered.

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