1 citations · 1 across the 6 of their papers we have counts for
6 papers
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^…
On the Commutativity of the Berezin Transform
Alexander Borichev, Gérard Fantolini, El-Hassan Youssfi
We consider the commutativity problem for the Berezin transform on weighted Fock spaces. Given a real number , for every we denote by the Berezin transform associa…
Sharp Invertibility in Quotient Algebras of
Alexander Borichev, Artur Nicolau, Myriam Ounaïes +1
We consider inner functions with the zero set such that the quotient algebra satisfies the Strong Invertibility Property (SIP), that is f…
Measure concentration for vector valued functions on Hamming cube
Alexander Borichev, Alexander Volberg
We prove here the concentration of measure inequality for Lipschitz function on the Hamming cube with values in any Banach spaces of finite cotype.
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…
On zeros of analytic functions satisfying non-radial growth conditions
A. Borichev, L. Golinskii, S. Kupin
Extending the results of Borichev--Golinskii--Kupin [2009], we obtain refined Blaschke-type necessary conditions on the zero distribution of analytic functions on the unit disk and…