Andrei V. Vasin

collaborators

3 papers

math.CV2026

Composition operators between de Branges-Rovnyak and Hardy spaces

Evgueni Doubtsov, Andrei V. Vasin

Let $d \geq 1$ and $I ¨ : B_{d} \to D$ be a holomorphic function, where $B_{d}$ denotes the open unit ball of $C^{d}$ and $D = B_{1}$ . Let $b: \mathbb{D} \to \mathbb{D…

math.FA2026

Carleson families of cubes related to porous sets

Andrei V. Vasin

Given a porous set $E \in R^{d}$ and a dyadic lattice $D$ , we refine the Carleson packing condition and the sparseness property for the dyadic cover $\mathcal{D}_E=…

math.FA2024

Characterization of weakly porous sets via dyadic coverings

Andrei Vasin

We consider the class of weakly porous sets in Euclidean spaces. As our main goal, we give a precise characterization in terms of dyadic covering of these sets. Also, we obtain the…