2 citations · 3 across the 8 of their papers we have counts for
9 papers
Schur property for jump parts of gradient measures
Krystian Kazaniecki, Anton Tselishchev, Michał Wojciechowski
We consider weakly null sequences in the Banach space of functions of bounded variation . We prove that for any such sequence the jump parts of…
On multipliers into martingale spaces for arbitrary filtrations
Anton Tselishchev
In this paper we study the following problem: for a given bounded positive function on a filtered probability space can we find another function (a multiplier) , $0\le m\le…
Some notes on the vector-valued extension of Littlewood--Paley--Rubio de Francia inequality for Walsh functions
Anton Tselishchev
J. L. Rubio de Francia proved the one-sided Littlewood--Paley inequality for arbitrary intervals in , and later N. N. Osipov proved the similar inequality for…
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…
Absence of local unconditional structure in spaces of smooth functions on the torus of arbitrary dimension
Anton Tselishchev
Consider a finite collection of differential operators with constant coefficients on () and the space of smooth functions generated b…
Absence of local unconditional structure in spaces of smooth functions on two-dimensional torus
Anton Tselishchev
Consider a finite collection of differential operators with constant coefficients on and the space of smooth functions generated by this colle…
Duality in a stability problem for some functionals arising in interpolation theory
Anton Tselishchev
By using duality, it is shown that there exist near-minimizers for the distance functionals for the couple , , that are stable under the action of sing…
Stability of nearly optimal decompositions in Fourier Analysis
Anton Tselishchev
The question of existence is treated for near-minimizers for the distance functional (or -functional in the interpolation terminology) that are stable under the action of certai…
Littlewood--Paley characterizations of and Triebel--Lizorkin spaces
Anton Tselishchev, Ioann Vasilyev
We prove one generalization of the Littlewood--Paley characterization of the space where the dilations of a Schwartz function are replaced by a family of functions w…