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math.FA2023
Bellman function method for general operators on martingales: arbitrary regular filtrations
Nikolay N. Osipov
It has been recently shown that the Bellman function method can be applied in the general context of Gundy's extrapolation theorem for vector-valued martingales. But the additional…
math.FA2021★ 1 cited
Bellman function method for general operators on martingales
Viacheslav Borovitskiy, Nikolay N. Osipov, Anton Tselishchev
It is shown that the Bellman function method can be applied to study the -norms of general operators on martingales, i.e., of operators that are not necessarily martingale tra…
math.FA2017
Two types of Rubio de Francia operators on Triebel--Lizorkin and Besov spaces
Eugenia Malinnikova, Nikolay N. Osipov
We discuss generalizations of Rubio de Francia's inequality for Triebel--Lizorkin and Besov spaces, continuing the research from [5]. Two versions of Rubio de Francia's operator ar…