Besov and Triebel-Lizorkin spaces for Schrodinger operators with inverse-square potentials and applications

摘要

Let L-a be a Schrodinger operator with inverse square potential a(1/2)x(1/2-2) on R-n, n (3) 3. The main aim of this paper is to develop the theory of new Besov and Triebel-Lizorkin spaces associated to L-a based on the new space of distributions. As applications, we apply the theory to study some problems on the parabolic equation associated to La. (C) 2020 Elsevier Inc. All rights reserved.