A. Tselishchev

activity

20182023

most citedLittlewood--Paley characterizations of

BMO

and Triebel--Lizorkin spaces

2 citations · 3 across the 8 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.FA2021

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 $L^{p}$ , $2 \leq p < \infty$ and later N. N. Osipov proved the similar inequality for…

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 $L^{p}$ -norms of general operators on martingales, i.e., of operators that are not necessarily martingale tra…

math.FA2021

Absence of local unconditional structure in spaces of smooth functions on the torus of arbitrary dimension

Anton Tselishchev

Consider a finite collection ${T_{1}, \dots, T_{J}}$ of differential operators with constant coefficients on $T^{n}$ ( $n \geq 2$ ) and the space of smooth functions generated b…