R. Zarouf

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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

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…

math.CV2024

Bloch functions with wild boundary behaviour in $C^{N}$

We prove the existence of functions $f$ in the Bloch space of the unit ball $B_{N}$ of $C^{N}$ with the property that, given any measurable function $I ¨ $ on the unit…

Bernstein-type inequalities for mean n-valent functions

Analytic capacities in Besov spaces

Bloch functions with wild boundary behaviour in CN

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

Bloch functions with wild boundary behaviour in $C^{N}$