2 papers
math.FA2012
Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials
E. Colorado, D. Pestana, J. M. Rodriguez +1
We generalize the classical Muckenhoupt inequality with two measures to three under appropriate conditions. As a consequence, we prove a simple characterization of the undedness of…
math.AP2011
On some Critical Problems for the Fractional Laplacian Operator
B. Barrios, E. Colorado, A. de Pablo +1
We study the effect of lower order perturbations in the existence of positive solutions to the following critical elliptic problem involving the fractional Laplacian: (-Δ)^{α/2}u=λ…