22 citations · 57 across the 16 of their papers we have counts for
9 papers · 1 filter
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 Hörmander classes of bilinear pseudodifferential operators II
Árpad Bényi, Frédéric Bernicot, Diego Maldonado +2
Boundedness properties for pseudodifferential operators with symbols in the bilinear Hörmander classes of sufficiently negative order are proved. The results are obtained in the sc…
Bilinear Sobolev-Poincare inequalities and Leibniz-type rules
Frederic Bernicot, Diego Maldonado, Kabe Moen +1
The dual purpose of this article is to establish bilinear Poincare-type estimates associated to an approximation of the identity and to explore the connections between bilinear pse…