Konstantin M. Dyakonov

activity

20122026

most citedA Rudin--de Leeuw type theorem for functions with spectral gaps

5 citations · 7 across the 4 of their papers we have counts for

collaborators

8 papers

math.FA2026

Extreme points in quotients of Hardy spaces

Konstantin M. Dyakonov

In the Hardy spaces $H^{1}$ and $H^{\infty}$ , there are neat and well-known characterizations of the extreme points of the unit ball. We obtain counterparts of these classical theorems…

math.CV2025

Carleson-type embeddings with closed range

Konstantin M. Dyakonov

We characterize the Carleson measures $μ$ on the unit disk for which the image of the Hardy space $H^{p}$ under the corresponding embedding operator is closed in $L^{p} (μ)$ . In fact, a…

math.CV2024

Extremal problems in BMO and VMO involving the Garsia norm

Konstantin M. Dyakonov

Given an $L^{2}$ function $f$ on the unit circle $T$ , we put $Φ_{f} (z) := P (∣ f ∣^{2}) (z) - ∣ P f (z) ∣^{2}, z \in D,$ where $D$ is the open unit disk…

math.FA2022

Questions about extreme points

Konstantin M. Dyakonov

We discuss the geometry of the unit ball -- specifically, the structure of its extreme points (if any) -- in subspaces of $L^{1}$ and $L^{\infty}$ on the circle that are formed by func…

math.FA2022★ 5 cited

A Rudin--de Leeuw type theorem for functions with spectral gaps

Konstantin M. Dyakonov

Our starting point is a theorem of de Leeuw and Rudin that describes the extreme points of the unit ball in the Hardy space $H^{1}$ . We extend this result to subspaces of $H^{1}$ forme…

math.CV2019

Quasi-squares of pseudocontinuable functions

Konstantin M. Dyakonov

For an inner function $θ$ on the unit disk, let $K_{θ}^{p} := H^{p} \cap θ H_{0}^{p}$ be the associated star-invariant subspace of the Hardy space $H^{p}$ . While the squaring operation $…