3 papers
math.CA2026
Uniqueness sets in weighted -spaces via simultaneous approximation
Linus Bergqvist, Adem Limani, Bartosz Malman
We consider a family of uniqueness problems in the setting of weighted Fourier spaces on the unit-circle, from the perspective of simultaneous approximation. We develop a…
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.CA2024
Distributing mass under a pointwise bound and an application to weighted polynomial approximation
Linus Bergqvist, Bartosz Malman
Inspired by applications in weighted polynomial approximation problems, we study an optimal mass distribution problem. Given a gauge function and a positive "roof" function …