Optimal behavior of the Laplace-Beltrami operator on the hyperbolic space

Analysis and Operator Theory Seminar
Thu, June 9, 2022
1:00 pm - 1:50 pm
MW 154

Title:  Optimal behavior of the Laplace-Beltrami operator on the hyperbolic space

Speaker:  Zdenek Mihula (Czech Technical University, Prague)

Abstract:  We characterize in a sense optimal function norms in Sobolev-type inequalities on the hyperbolic space. We link the optimal function norms in Sobolev-type inequalities involving the hyperbolic gradient and the Laplace-Beltrami operator with the optimal function norms in their Euclidean counterparts.