Joel E. Restrepo

collaborators

3 papers

math.AP2024

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

Santiago Gómez 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…

math.FA2023

Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity

Vishvesh Kumar, Joel E. Restrepo, Michael Ruzhansky

We derive asymptotic estimates for the growth of the norm of the deformed Hankel transform on the deformed Hankel--Lipschitz space defined via a generalised modulus of continuity.…

math.AP2023

Heat and wave type equations with non-local operators, II. Hilbert spaces and graded Lie groups

Marianna Chatzakou, Joel E. Restrepo, Michael Ruzhansky

We study heat and wave type equations on a separable Hilbert space $H$ by considering non-local operators in time with any positive densely defined linear operator with d…

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

Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity

Heat and wave type equations with non-local operators, II. Hilbert spaces and graded Lie groups

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