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math.AP2025
The limiting case of the fractional Caffarelli-Kohn-Nirenberg inequality in dimension one
Maria del Mar Gonzalez, Ali Hyder, Mariel Saez
In this paper we study the fractional Caffarelli-Kohn-Nirenberg inequality (CKN) in one dimension when the parameter converges (from the left) to its critical value , obta…
math.AP2016
Fractional Laplacians and extension problems: the higher rank case
Maria del Mar Gonzalez, Mariel Saez
The aim of this paper is two-fold: first, we look at the fractional Laplacian and the conformal fractional Laplacian from the general framework of representation theory on symmetri…
math.AP2012
Layer solutions for the fractional Laplacian on hyperbolic space: existence, uniqueness and qualitative properties
María del Mar González, Mariel Sáez, Yannick Sire
We investigate the equation where corresponds to the fractional Laplacian on hyperbolic space for $γ\i…