22 citations · 57 across the 16 of their papers we have counts for
19 papers
On a higher-integrability estimate for Laplacians of convex solutions to the Monge-Ampère equation
Diego Maldonado
A maximum principle for certain strictly convex functions belonging to is established and then applied to obtain a $W^{2,1 +\eps}_{\rm loc}(Ω)$-es…
Weak porosity in spaces of homogeneous type
Diego Maldonado
Based on the theory of Muckenhoupt weights, short and conceptually simpler proofs are provided for the following two implications: (1) if is a space of homogeneous type…
Weighted estimates for fractional integrals with Distances to Bounded Median Porous Sets and applications to Hardy--Sobolev Inequalities
Diego Maldonado, Javier Soria
Weighted estimates for the fractional integral operator are established and subsequently applied to derive corresponding Hardy--Sobolev inequalities. The weights are construc…
Anisotropic Caffarelli-Kohn-Nirenberg inequalities with higher-order fractional derivatives
Diego Maldonado, Javier Soria
We prove a family of anisotropic Caffarelli-Kohn-Nirenberg interpolation inequalities involving higher-order fractional derivatives and weights of the form $|x'|^{θ_1}|x|^{θ_2}|x_n…
On weighted estimates for fractional operators and applications to Hardy-type inequalities
Diego Maldonado, Javier Soria
New necessary and sufficient conditions for two-weight estimates for fractional maximal and integral operators are established by means of Harnack-type estimates for Muckenhoupt we…
On the Complexity of the Stability Problem of Binary Freezing Totalistic Cellular Automata
Eric Goles, Diego Maldonado, Pedro Montealegre +1
In this paper we study the family of two-state Totalistic Freezing Cellular Automata (TFCA) defined over the triangular and square grids with von Neumann neighborhoods. We say that…