5 papers
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…