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math.CA2021
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…
math.CA2014★ 1 cited
Elementary proofs of Embedding Theorems for Potential Spaces of Radial Functions
Pablo L. De Napoli, Irene Drelichman
We present elementary proofs of weighted embedding theorems for radial potential spaces and some generalizations of Ni's and Strauss' inequalities in this setting.
math.CA2010
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…