2 papers
math.FA2026
Upper bound properties of free and related Banach lattices via operators
Anastasiia Ianina, Timur Oikhberg
It is known that the free -convex Banach lattice on a Banach space can be represented as a space of functions on the unit ball of . In this way, it gives rise to certai…
math.CA2021
Massive Helson sets
Anastasiia Ianina
According to the Wik theorem, there exist massive Helson sets on the circle. In particular, they can be of Hausdorff dimension one. We extend Wik's result to the multidimensional c…