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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…
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…