81 citations · 202 across the 43 of their papers we have counts for
57 papers
Beurling--Kato theory, Hardy--Sobolev calculus and Ritt operators
A. Borichev, A. Gomilko, Yu. Tomilov
We develop a discrete Beurling--Kato theory for bounded operators and relate it to a Hardy--Sobolev functional calculus on Stolz domains. Our central class is that of Ritt operator…
Extremal functions and zero sets for the Dirichlet space
Alexander Borichev, Omar El-Fallah, Karim Kellay
We study the zeros of functions in the Dirichlet space. Using extremal functions, we produce a necessary and sufficient condition for a sequence of points in the unit disk to be a…
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…
Exponential approximation and meromorphic interpolation
Yurii Belov, Alexander Borichev, Alexander Kuznetsov
We establish a relation between the approximation in by exponentials with the set of frequencies of Beurling--Malliavin density less than and the meromorphic interp…
On the chain structure in the de Branges spaces
Yurii Belov, Alexander Borichev
We study the indivisible intervals and the monotonicity of the growth of the exponential type in the chains of de Branges subspaces in terms of the spectral measure. We prove that…
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,…