1 citations · 1 across the 8 of their papers we have counts for
9 papers
Characterization of weights for the variable fractional maximal operator and weighted inequalities for variable fractional rough operators
Rodrigo M. Pastrana, M. Silvina Riveros, Raúl E. Vidal
We characterize the class of weights related to the boundedness of variable fractional maximal operator on variable Lebesgue spaces. This extend previously…
Existence of positive solutions for a parameter fractional -Laplacian problem with semipositone nonlinearity
Emer Lopera, Camila López, Raúl E. Vidal
In this paper we prove the existence of at least one positive solution for the nonlocal semipositone problem \[ \displaystyle \left\{\begin{array}{rcll} (-Δ)_p^s(u) &=& λf(u) \qqua…
Necessary condition on the weight for maximal and integral operators with rough kernels
Gonzalo H. Ibañez-Firnkorn, María Silvina Riveros, Raúl E. Vidal
Let , and let consider be a of integral operator, given by kernel of the form where …
Explicit fundamental solution for the operator on the Gelfand pair
Isolda E. Cardoso, Mauro Subils, Raúl E. Vidal
By means of the spherical functions associated to the Gelfand pair we define the operator , where denotes the Heisenberg sublaplacian and de…
Nonlocal diffusion equations in Carnot Groups
Isolda Eugenia Cardoso, Raúl Emilio Vidal
Let be a Carnot group. We study nonlocal diffusion equations in a domain of 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…
Sharp bounds for fractional operator with -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 -Hörmander conditions and a fractional size condition, where…