A. F. Muñoz-Tello

collaborators

2 papers

math.FA2026

On the differentiability of the Sobolev norm of $W^{k, 1} (M)$ on compact Riemannian manifolds

Duvan Cardona, Julio Delgado, Andres Felipe Muñoz-Tello

In this work we study the differentiability for the Sobolev norm of $W^{k, 1} (M)$ in the sense of Gâteaux , where $(M, g)$ is an arbitrary closed Riemannian manifold.

math.FA2021

On the set of Gâteaux differentiability of the $L^{1}$ norm

Julio Delgado, Andrés F. Muñoz-Tello

Let $(Ω, M, μ)$ be a measure space. In this paper we establish the set of Gâteaux differentiability for the usual norm of $L^{1} (Ω, μ)$ and the corresponding derivative f…

On the differentiability of the Sobolev norm of Wk,1(M) on compact Riemannian manifolds

On the set of Gâteaux differentiability of the L1 norm

On the differentiability of the Sobolev norm of $W^{k, 1} (M)$ on compact Riemannian manifolds

On the set of Gâteaux differentiability of the $L^{1}$ norm