1 citations · 2 across the 10 of their papers we have counts for
11 papers
Bernstein-type inequalities for mean -valent functions
Anton Baranov, Ilgiz Kayumov, Rachid Zarouf
We derive new integral estimates of the derivatives of mean -valent functions in the unit disk. Our results develop and complement estimates obtained by E.P. Dolzhenko and A.A.…
Analytic capacities in Besov spaces
Anton Baranov, Michael Hartz, Ilgiz Kayumov +1
We derive new estimates on analytic capacities of finite sequences in the unit disc in Besov spaces with zero smoothness, which sharpen the estimates obtained by N.K.Nikolski in 20…
Zeros of meromorphic functions of the form
Anton Baranov, Vladimir Shemyakov
We study zeros distribution for meromorphic functions of the form , where . We prove an analog o…
Weissler and Bernoulli type inequalities in Bergman spaces
Anton D. Baranov, Ilgiz R. Kayumov, Diana M. Khammatova +1
We consider Weissler type inequalities for Bergman spaces with general radial weights and give conditions on the weight in terms of its moments ensuring that $\|f_r\|_{A^{2n}(w…
Representing systems of reproducing kernels in spaces of analytic functions
Anton Baranov, Timur Batenev
We give an elementary construction of representing systems of the Cauchy kernels in the Hardy spaces , , as well as of representing systems of reproducing ker…
Point spectrum and hypercyclicity problem for a class of truncated Toeplitz operators
Anton Baranov, Andrei Lishanskii
In this note we discuss an open problem whether a truncated Toeplitz operator on a model space can be hypercyclic. We compute point spectrum and eigenfunctions for a class of trunc…