1 citations · 2 across the 5 of their papers we have counts for
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On Bloch seminorm of finite Blaschke products in the unit disk
Anton D. Baranov, Ilgiz R. Kayumov, Semen R. Nasyrov
We prove that, for any finite Blaschke product in the unit disk, the corresponding Riemann surface over the --plane contains a one-sheeted disk of the radius . Mor…
Spectral synthesis for exponentials and logarithmic length
Anton Baranov, Yurii Belov, Aleksei Kulikov
We study hereditary completeness of systems of exponentials on an interval such that the corresponding generating function is small outside of a lacunary sequence of intervals…
Backward shift and nearly invariant subspaces of Fock-type spaces
Alexandru Aleman, Anton Baranov, Yurii Belov +1
We study the structure of the backward shift invariant and nearly invariant subspaces in weighted Fock-type spaces , whose weight is not necessarily radial. We…
Krein-type theorems and ordered structure for Cauchy-de Branges spaces
Evgeny Abakumov, Anton Baranov, Yurii Belov
We extend some results of M.G. Krein to the class of entire functions which can be represented as ratios of discrete Cauchy transforms in the plane. As an application we obtain new…
De Branges spaces and Fock spaces
Anton Baranov, Hélène Bommier-Hato
Relations between two classes of Hilbert spaces of entire functions, de Branges spaces and Fock-type spaces with non-radial weights, are studied. It is shown that any de Branges sp…
Univalent functions in model spaces: revisited
Anton Baranov, Yurii Belov, Alexander Borichev +1
Motivated by a problem in approximation theory, we find a necessary and sufficient condition for a model (backward shift invariant) subspace $K_\varTheta = H^2\ominus \varTheta H^2…