29 citations · 29 across the 6 of their papers we have counts for
9 papers
Weighted fractional Sobolev spaces as interpolation spaces in bounded domains
Gabriel Acosta, Irene Drelichman, Ricardo G. Durán
We characterize the real interpolation space between a weighted space and a weighted Sobolev space in arbitrary bounded domains in , with weights that are posit…
The Bourgain-Brézis-Mironescu formula in arbitrary bounded domains
Irene Drelichman, Ricardo G. Durán
We obtain a Bourgain-Brézis-Mironescu formula on the limit behaviour of a modified fractional Sobolev seminorm when , which is valid in arbitrary bounded domains. In t…
A weighted setting for the numerical approximation of the Poisson problem with singular sources
Irene Drelichman, Ricardo Durán, Ignacio Ojea
We consider the approximation of Poisson type problems where the source is given by a singular measure and the domain is a convex polygonal or polyhedral domain. First, we prove th…
On the interpolation space in non-smooth domains
Irene Drelichman, Ricardo G. Durán
We show that, for certain non-smooth bounded domains , the real interpolation space is the subspace $\widetilde W^{s,p}(Ω) \subse…
Improved Poincaré inequalities in fractional Sobolev spaces
Irene Drelichman, Ricardo G. Durán
We obtain improved fractional Poincaré and Sobolev Poincaré inequalities including powers of the distance to the boundary in John, -John domains and Hölder- domains, and disc…
Improved Caffarelli-Kohn-Nirenberg and trace inequalities for radial functions
Pablo L. De Nápoli, Irene Drelichman, Ricardo G. Durán
We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in admit a better range of p…
Multipliers of Laplace Transform Type for Laguerre and Hermite Expansions
Pablo L. De Nápoli, Irene Drelichman, Ricardo G. Durán
We present a new criterion for the weighted boundedness of multiplier operators for Laguerre and Hermite expansions that arise from a Laplace-Stieltjes transform. As a sp…
A right inverse of the divergence for planar Hölder- domains
Ricardo G. Durán, Fernando López García
If is a bounded domain, the existence of solutions of for with vanishing mean value, is a basic result in t…
Improved Poincare inequalities with weights
Irene Drelichman, Ricardo G. Durán
In this paper we prove that if is a bounded John domain, the following weighted Poincare-type inequality holds: $$ \inf_{a\in \mathbb{R}}\| (f(x)-a) w_1(x) \|_{L…