J. Manzur

collaborators

4 papers

math.FA2026

A Hardy-space operator acting on $ζ$ -zeros

Juan Manzur, Waleed Noor

A Hardy space approach to the Nyman-Beurling and Báez-Duarte criterion for the Riemann Hypothesis (RH) was introduced in [7]. It states that the RH holds if and only if the span of…

math.FA2026

A Hardy space approximation supporting zero-free half-planes for the $ζ$ -function

Juan Manzur, Waleed Noor, Gustavo Quintero

An equivalent version of the Báez-Duarte criterion \cite{baez} for the Riemann Hypothesis (RH) by Bagchi states that the RH holds true if and only if the function $E (s) = 1/ s$ belo…

math.FA2026

Li-Yorke chaotic weighted composition operators on Hardy and Bergman spaces over the unit disk

Carlos F. Álvarez, João R. Carmo, Juan Manzur

We study Li--Yorke and mean Li--Yorke chaos for weighted composition operators $C_{w, φ}$ on Banach spaces of analytic functions on the unit disk $D$ . Under natural conditi…

math.FA2025

On the dynamics of a semigroup and its relation with the Riemann Hypothesis

Carlos F. Álvarez, Juan Manzur

The semigroup of weighted composition operators $(W_{n})_{n \in N}$ , defined by $W_{n} f (z) = (1 + z + \dots + z^{n}) f (z^{n}),$ acts on the classical Hardy-Hilbert space $H^{2}(\mathbb{…

A Hardy-space operator acting on ζ-zeros

A Hardy space approximation supporting zero-free half-planes for the ζ-function

Li-Yorke chaotic weighted composition operators on Hardy and Bergman spaces over the unit disk

On the dynamics of a semigroup and its relation with the Riemann Hypothesis

A Hardy-space operator acting on $ζ$ -zeros

A Hardy space approximation supporting zero-free half-planes for the $ζ$ -function