W. Verreault

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20242026

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math.FA2026

A proof of conjectures of Esterle and Ransford on negative powers of contractions

William Verreault

Building on work of Ransford, we prove that whenever $E$ is a closed subset of the unit circle of Lebesgue measure zero, there exists a positive sequence $u_{n} \to \infty$ such that i…

math.FA2024

The CesÃ ro operator on local Dirichlet spaces

Eugenio Dellepiane, Javad Mashreghi, Mostafa Nasri +1

The family of CesÃ ro operators $I ¨ _{n}^{I^} \pm$ , $n \geq 0$ and $I^\pm \in [0, 1]$ , consists of finite rank operators on Banach spaces of analytic functions on the open unit disc. In this wor…