25 citations · 63 across the 24 of their papers we have counts for
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Littlewood-Paley-Rubio de Francia inequality for multi-parameter Vilenkin systems
Viacheslav Borovitskiy
A version of Littlewood-Paley-Rubio de Francia inequality for bounded multi-parameter Vilenkin systems is proved: for any family of disjoint sets $I_k = I_k^1 \times \ldots \times…
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…
Littlewood-Paley-Rubio de Francia Inequality for the Two-parameter Walsh System
Viacheslav Borovitskiy
A version of Littlewood-Paley-Rubio de Francia inequality for the two-parameter Walsh system is proved: for any family of disjoint rectangles in ${\mathb…
K-closedness of weighted Hardy spaces on the two-dimensional torus
V. Borovitskiy
It is proved that, under certain restrictions on weights, a pair of weighted Hardy spaces on the two-dimensional torus is K-closed in the pair of the corresponding weighted Lebesgu…