A. Tselishchev

activity

20182021

collaborators

Showing math.FAShow all

3 papers · 1 filter

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…

math.FA2020

Absence of local unconditional structure in spaces of smooth functions on two-dimensional torus

Anton Tselishchev

Consider a finite collection ${T_{1}, \dots, T_{J}}$ of differential operators with constant coefficients on $T^{2}$ and the space of smooth functions generated by this colle…

math.FA2019

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 $(L^{\infty}, L^{p})$ , $1 < p < \infty$ , that are stable under the action of sing…