Homepage Andrea Hurtado

Publications

Hurtado Quiceno, Andrea, V., Cardona, D. The constant in the Sobolev inequality and the boundedness of subelliptic operators on compact Lie groups, to appear in Commun. Anal. Mech. 2025

The constant in the Sobolev inequality and the boundedness of subelliptic operators on compact Lie groupsGiven a compact connected Lie group $ G $, we estimated the constant for the Sobolev inequality for an arbitrary Hörmander sub-Laplacian on $ G $. The constant was estimated in terms of quantities depending on the intrinsic geometry of the group and on the Lebesgue parameters. We also provided applications of this result to the estimation of the operator norm for $ L^p $-$ L^q $-bounded subelliptic pseudo-differential operators in subelliptic Hörmander classes.

Cardona, D., Hurtado Quiceno, Andrea, V. Sobolev inequality and mapping properties of pseudo-differential operators on compact Lie groups, to appear in Trends in Mathematics. 2025

Page updated

Google Sites

Report abuse