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math.CV2025
A critical majorant for the Khinchin-Ostrowski property
Bartosz Malman
In this short note we prove an optimal version of a classical result. Given a majorant determining a growth restriction on functions in the unit disk , we say that a se…
math.CV2025
Revisiting cyclic elements in growth spaces
Linus Bergqvist, Adem Limani, Bartosz Malman
We revisit the problem of characterizing cyclic elements for the shift operator in a broad class of radial growth spaces of holomorphic functions on the unit disk, focusing on func…
math.CV2025
Weighted Korenblum-Roberts Theory
Bartosz Malman
The classical Korenblum-Roberts Theorem characterizes the cyclic singular inner functions in the Bergman spaces of the unit disk as those for which the corresponding s…