101 citations · 131 across the 26 of their papers we have counts for
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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.…
Bloch functions with wild boundary behaviour in
Stéphane Charpentier, Nicolas Espoullier, Rachid Zarouf
We prove the existence of functions in the Bloch space of the unit ball of with the property that, given any measurable function on the unit s…
On the Fourier coefficients of powers of a finite Blaschke product
Alexander Borichev, Karine Fouchet, Rachid Zarouf
Given a finite Blaschke product we prove asymptotically sharp estimates on the -norm of the sequence of the Fourier coefficients of as tends to $\inf…
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…
On the Fourier coefficients of powers of a Blaschke factor and strongly annular fonctions
Alexander Borichev, Karine Fouchet, Rachid Zarouf
We compute asymptotic formulas for the Fourier coefficients of , where is the Blaschke factor associated to , $k\in[0,…
interpolation and embedding theorems for rational functions
Anton Baranov, Rachid Zarouf
We consider a Nevanlinna-Pick interpolation problem on finite sequences of the unit disc D constrained by Hardy and radial-weighted Bergman norms. We find sharp asymptotics on the…