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math.FA2026
A Levin-Milman theorem for Young variation
N. G. Albuquerque, D. Bugajewska, E. Demétrio +1
In 1940, Levin\footnotemark[1] and Milman proved that a closed linear subspace of whose elements all have bounded Jordan variation must be finite-dimensional. We prove its…
math.FA2025
Nonlinear composition operators in bv_p spaces: continuity and compactness
Daria Bugajewska, Piotr Kasprzak
Continuing the study initiated in our earlier article [7], this paper aims to characterize various continuity properties of nonlinear composition operators acting on some sequence…