R. Vidal

activity

20172020

collaborators

3 papers

math.CA2020

Necessary condition on the weight for maximal and integral operators with rough kernels

Gonzalo H. Ibañez-Firnkorn, María Silvina Riveros, Raúl E. Vidal

Let $0 \leq α < n$ , $m \in N$ and let consider $T_{α, m}$ be a of integral operator, given by kernel of the form $K (x, y) = k_{1} (x - A_{1} y) k_{2} (x - A_{2} y) \dots k_{m} (x - A_{m} y),$ where $A_{i}$ …

math.FA2019

Explicit fundamental solution for the operator $L + α ∣ T ∣$ on the Gelfand pair $(H_{n}, U (n))$

Isolda E. Cardoso, Mauro Subils, Raúl E. Vidal

By means of the spherical functions associated to the Gelfand pair $(H_{n}, U (n))$ we define the operator $L + α ∣ T ∣$ , where $L$ denotes the Heisenberg sublaplacian and $T$ de…

math.AP2017

Nonlocal heat equations in the Heisenberg group

Raúl Emilio Vidal

We study the following nonlocal diffusion equation in the Heisenberg group $H_{n}$ , \[ u_t(z,s,t)=J\ast u(z,s,t)-u(z,s,t), \] where $*$ denote convolution product and $J$ …

Necessary condition on the weight for maximal and integral operators with rough kernels

Explicit fundamental solution for the operator L+α∣T∣ on the Gelfand pair (Hn​,U(n))

Nonlocal heat equations in the Heisenberg group

Explicit fundamental solution for the operator $L + α ∣ T ∣$ on the Gelfand pair $(H_{n}, U (n))$