Barcelona Graduate School of Mathematics

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20072026

most citedLocal migration quantification method for scratch assays

184 citations

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15 papers · 1 filter

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.CV2022★ 1 cited

Interpolation and duality in spaces of pseudocontinuable functions

Konstantin M. Dyakonov

Given an inner function $θ$ on the unit disk, let $K_{θ}^{p} := H^{p} \cap θ z ˉ H^{p} ˉ$ be the associated star-invariant subspace of the Hardy space $H^{p}$ . Also, we put $K_{*θ}:=K^2_θ\c…

math.CV2020★ 4 cited

A converse to the Schwarz lemma for planar harmonic maps

Ole Fredrik Brevig, Joaquim Ortega-Cerdà, Kristian Seip

A sharp version of a recent inequality of Kovalev and Yang on the ratio of the $(H^{1})^{*}$ and $H^{4}$ norms for certain polynomials is obtained. The inequality is applied to establ…

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 $…

math.CV2018★ 14 cited

Univalent polynomials and Koebe's one-quarter theorem

Dmitriy Dmitrishin, Konstantin Dyakonov, Alex Stokolos

The famous Koebe $\frac{1}{4}$ theorem deals with univalent (i.e., injective) analytic functions $f$ on the unit disk $D$ . It states that if $f$ is normalized so that $f (0) = 0$ …