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math.CV2024
Bloch functions with wild boundary behaviour in
Stéphane Charpentier, Nicolas Espoullier, Rachid Zarouf
We prove the existence of functions in the Bloch space of the unit ball of with the property that, given any measurable function on the unit s…
math.CV2024
Weighted holomorphic polynomial approximation
S. Charpentier, N. Levenberg, F. Wielonsky
For an open set in and a non-vanishing holomorphic function in , in the late 1990's, Pritsker and Varga characterized pairs having the property that…
math.CV2024
Invariance of Abel universality under composition and applications
Stéphane Charpentier, Myrto Manolaki, Konstantinos Maronikolakis
A holomorphic function on the unit disc belongs to the class of Abel universal functions if the family of its dil…