81 citations · 202 across the 43 of their papers we have counts for
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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…