J. Restrepo

activity

20242026

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4 papers · 1 filter

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.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…

math.AP2024

Evolutionary integro-differential equations of scalar type on locally compact groups

Santiago GÃ³mez Cobos, Joel E. Restrepo, Michael Ruzhansky

We study existence, uniqueness, norm estimates and asymptotic time behaviour (in some cases can be claimed to be sharp) for the solution of a general evolutionary integral (differe…

math.AP2024

$L^{p} - L^{q}$ estimates for non-local heat and wave type equations on locally compact groups

Santiago GÃ³mez Cobos, Joel E. Restrepo, Michael Ruzhansky

We prove the $L^{p} - L^{q}$ $(1 < p ⩽ 2 ⩽ q < + \infty)$ norm estimates for the solutions of heat and wave type equations on a locally compact separable unimodular group $G$ by…

Boundedness of spectral multipliers on locally compact groups and applications

Integro-differential diffusion equations on graded Lie groups

Evolutionary integro-differential equations of scalar type on locally compact groups

Lp−Lq estimates for non-local heat and wave type equations on locally compact groups

$L^{p} - L^{q}$ estimates for non-local heat and wave type equations on locally compact groups