I. Vasilyev

collaborators

3 papers

math.CV2025

On the zero sets of harmonic polynomials

Ioann Vasilyev

In this paper we consider nonzero harmonic functions vanishing on some subsets of $R^{n}$ . We give a positive solution to Problem 151 from the Scottish Book posed by R. Wavre…

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…

math.FA2024

The property $lo g (f) \in B M O (R^{n})$ in terms of Riesz transforms

Ioann Vasilyev

The condition mentioned in the title is equivalent to the representability of $f$ as the quotient $f = v_{1} / v_{2}$ , where $v_{1}$ and $v_{2}$ obey the inequalities $∣ R_{j} v_{i} ∣ \leq C ∣ v_{i} ∣$ …

On the zero sets of harmonic polynomials

Reverse Carleson measures for spaces of analytic functions

The property log(f)∈BMO(Rn) in terms of Riesz transforms

The property $lo g (f) \in B M O (R^{n})$ in terms of Riesz transforms