2 papers
math.FA2026
Square function characterization of Hardy-type spaces
Evgeny Abakumov, Evgueni Doubtsov, Dmitry Rutsky
The well-known characterization of Hardy spaces , , in terms of the Littlewood-Paley g-function $$ S f (ζ) = \left(\int_0^1 |f' (r ζ)|^…
math.CV2024
Compact linear combinations of composition operators on Hardy spaces
Evgueni Doubtsov, Dmitry V. Rutsky
Let , , be holomorphic self-maps of the unit disk of . We prove that the compactness of a linear combination of the composition oper…