2 papers
math.FA2026
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…
math.FA2025
On regularity of compressions and diagonals of operator functions
Vladimir Müller, Yuri Tomilov
Replacing operators with continuous operator-valued functions, we prove time-dependent versions of well-known results on compressions and diagonals of bounded operators. The settin…