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math.CA2014
Sharp estimates of integral functionals on classes of functions with small mean oscillation
Paata Ivanisvili, Nikolay N. Osipov, Dmitriy M. Stolyarov +2
We unify several Bellman function problems into one setting. For that purpose we define a class of functions that have, in a sense, small mean oscillation (this class depends on tw…
math.CA2014
Littlewood--Paley--Rubio de Francia inequality for the Walsh system
Nikolay N. Osipov
Rubio de Francia proved the one-sided Littlewood--Paley inequality for arbitrary intervals in , . In this article, such an inequality is proved for the Walsh…