Anton Tselishchev

collaborators

3 papers

math.FA2025

Rescaling of unconditional Schauder frames in Hilbert spaces and completely bounded maps

Anton Tselishchev

We prove that if every element $u$ in a Hilbert space $H$ admits a representation as unconditionally convergent series $u = k = 1 \sum \infty ⟨ u, y_{k} ⟩ x_{k},$ then there…

math.CA2025

Unconditional Schauder frames of exponentials and of uniformly bounded functions in $L^{p}$ spaces

Nir Lev, Anton Tselishchev

It is known that there is no unconditional basis of exponentials in the space $L^{p} (Ω)$ , $p \neq = 2$ , for any set $Ω \subset R^{d}$ of finite measure. This is a consequence of a…

math.CV2024

Reverse Carleson measures for spaces of analytic functions

Evgueni Doubtsov, Anton Tselishchev, Ioann Vasilyev

Let $X$ be a quasi-Banach space of analytic functions in the unit disc and let $q > 0$ . A finite positive Borel measure $μ$ in the closed unit disc $D$ is called…

Rescaling of unconditional Schauder frames in Hilbert spaces and completely bounded maps

Unconditional Schauder frames of exponentials and of uniformly bounded functions in Lp spaces

Reverse Carleson measures for spaces of analytic functions

Unconditional Schauder frames of exponentials and of uniformly bounded functions in $L^{p}$ spaces