R. Vidal

activity

20172026

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Showing 2018Show all

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math.AP2018

Nonlocal diffusion equations in Carnot Groups

Isolda Eugenia Cardoso, Raúl Emilio Vidal

Let $G$ be a Carnot group. We study nonlocal diffusion equations in a domain $Ω$ of $G$ of the form $$ u_t^ε(x,t)=\int_{G}\frac{1}{ε^2}K_ε(x,y)(u^ε(y,t)-u^ε(x,t))\,dy, \qquad x\in…

math.CA2018

Sharp bounds for fractional operator with $L^{α, r^{'}}$ -Hörmander conditions

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

In this paper we prove the sharp boundedness for a fractional type operator given by a kernel that satisfy a $L^{α, r^{'}}$ -Hörmander conditions and a fractional size condition, where…

Nonlocal diffusion equations in Carnot Groups

Sharp bounds for fractional operator with Lα,r′-Hörmander conditions

Sharp bounds for fractional operator with $L^{α, r^{'}}$ -Hörmander conditions