101 citations · 131 across the 26 of their papers we have counts for
28 papers
Schäffer's matrix inequality: the exact asymptotic constant
Samy Houache, Oleg Szehr, Rachid Zarouf
Let denote the smallest constant such that \[ |\det T|\|T^{-1}\| \leq S_n \|T\|^{n-1} \] for every invertible operator on every -dimensional complex Banach space. In H…
Projected Inner-Function Dynamics and Crystalline Measures of Meyer-Blaschke type
Oleg Szehr, Rachid Zarouf
We generalize a construction of Yves Meyer of sparse crystalline measures arising from powers of a Blaschke factor. Starting from a recursion on the unit circle where…
Lower bounds in -rational approximation to Blaschke products
Laurent Baratchart, Alexander Borichev, Sylvain Chevillard +2
We derive lower bounds in best rational approximation of given degree to finite Blaschke products, in the Hardy space of the unit disk. We first consider approximation to $z^…
Asymptotic sharpness of a Nikolskii type inequality for rational functions in the Wiener algebra
Benjamin Auxemery, Alexander Borichev, Rachid Zarouf
We establish the asymptotic sharpness of a Nikolskii type inequality proved by A. Baranov and R. Zarouf for rational functions in the Wiener algebra of absolutely convergent Fo…
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…