1 citations · 2 across the 3 of their papers we have counts for
5 papers
On Dirichlet problem for second-order elliptic equations in the plane and uniform approximation problems for solutions of such equations
Astamur Bagapsh, Konstantin Fedorovskiy, Maksim Mazalov
We consider the Dirichlet problem for solutions to general second-order homogeneous elliptic equations with constant complex coefficients. We prove that any Jordan domain with $C^{…
Chui's conjecture in Bergman spaces
Evgeny Abakumov, Alexander Borichev, Konstantin Fedorovskiy
We solve Chui's conjecture on the simplest fractions (i.e., sums of Cauchy kernels with unit coefficients) in weighted (Hilbert) Bergman spaces. Namely, for a wide class of weights…
Nevanlinna domains with large boundaries
Yurii Belov, Alexander Borichev, Konstantin Fedorovskiy
We establish the existence of Nevanlinna domains with large boundaries. In particular, these domains can have boundaries of positive planar measure. The sets of accessible points c…
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…
On -estimates of derivatives of univalent rational functions
Anton D. Baranov, Konstantin Yu. Fedorovskiy
We study the growth of the quantity for rational functions of degree , which are bounded and univalent in the unit disk, and prove that thi…