A. Baranov

collaborators

Showing math.CVShow all

3 papers · 1 filter

math.CV2024

Bernstein-type inequalities for mean $n$ -valent functions

Anton Baranov, Ilgiz Kayumov, Rachid Zarouf

We derive new integral estimates of the derivatives of mean $n$ -valent functions in the unit disk. Our results develop and complement estimates obtained by E.P. Dolzhenko and A.A.…

math.CV2024

Zeros of meromorphic functions of the form $n \sum \frac{c _{n}}{( z - t _{n} ) ^{2}}$

Anton Baranov, Vladimir Shemyakov

We study zeros distribution for meromorphic functions of the form $n \sum \frac{c _{n}}{( z - t _{n} ) ^{2}}$ , where $n \sum \frac{∣ c _{n} ∣}{∣ t _{n} ∣ ^{2}} < \infty$ . We prove an analog o…

math.CV2024

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…

Bernstein-type inequalities for mean n-valent functions

Zeros of meromorphic functions of the form n∑​(z−tn​)2cn​​

Analytic capacities in Besov spaces

Bernstein-type inequalities for mean $n$ -valent functions

Zeros of meromorphic functions of the form $n \sum \frac{c _{n}}{( z - t _{n} ) ^{2}}$