J. Restrepo

activity

20242026

collaborators

3 papers

math.AP2026

Boundedness of spectral multipliers on locally compact groups and applications

Santiago GÃ³mez Cobos, Joel E. Restrepo, Michael Ruzhansky

We prove that the noncommutative Lorentz norm (associated to a semifinite von Neumann algebra) of a propagator of the form $I ¨ (∣ L ∣)$ can be estimated if the modulus of th…

math.CV2025

On projection from $A_{I ¨}^{p} $ to the Hardy spaces $H^{p}$

Armen Jerbashian, Joel E. Restrepo

This paper describes the known results on the projection from the most general holomorphic spaces $A_{I ¨}^{p} $ , which depend on a functional parameter $I ¨ $ and are over the unit disc,…

math.AP2024

Integro-differential diffusion equations on graded Lie groups

Joel E. Restrepo, Michael Ruzhansky, Berikbol T. Torebek

We first study the existence, uniqueness and well-posedness of a general class of integro-differential diffusion equation on $L^{p} (G)$ $(1 < p < + \infty$ , $G$ is a gra…

Boundedness of spectral multipliers on locally compact groups and applications

On projection from AI¨p​ to the Hardy spaces Hp

Integro-differential diffusion equations on graded Lie groups

On projection from $A_{I ¨}^{p} $ to the Hardy spaces $H^{p}$