Konstantin M. Dyakonov

collaborators

3 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.CV2026

Carleson-type embeddings with closed range

Konstantin M. Dyakonov

We characterize the Carleson measures $I^¼$ on the unit disk for which the image of the Hardy space $H^{p}$ under the corresponding embedding operator is closed in $L^{p} (I^¼)$ . In fact,…

math.CV2025

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 $I^¦_{f} (z) := P (∣ f ∣^{2}) (z) - ∣ P f (z) ∣^{2}, z \in D,$ where $D$ is the open unit dis…