29 citations · 29 across the 6 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…