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math.CV2024★ 1 cited
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.…
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…