J. Manzur

collaborators

3 papers

math.FA2026

A Hardy space approximation supporting zero-free half-planes for the $I^¶$ -function

Juan Manzur, Waleed Noor, Gustavo Quintero

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

math.FA2026

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

Carlos F. Ãlvarez, 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{…

math.FA2026

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

Carlos F. Ãlvarez, JoÃ£o R. Carmo, Juan Manzur

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

A Hardy space approximation supporting zero-free half-planes for the I^¶-function

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

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

A Hardy space approximation supporting zero-free half-planes for the $I^¶$ -function