5 papers
Tangential boundary behavior in Hilbert spaces of analytic functions
Shuaibing Luo, Bartosz Malman
Sarason's Hilbert space version of Carathéodory-Julia Theorem connects the non-tangential boundary behavior of functions in de Branges-Rovnyak space with the existence of a…
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…
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…
Double-layer potentials, configuration constants and applications to numerical ranges
Bartosz Malman, Javad Mashreghi, Ryan O'Loughlin +1
Given a compact convex planar domain with non-empty interior, the classical Neumann's configuration constant is the norm of the Neumann-Poincaré operator…
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…