Besov and Triebel–Lizorkin spaces for Schrödinger operators with inverse–square potentials and applications.

Let L a be a Schrödinger operator with inverse square potential a | x | − 2 on R n , n ≥ 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 L a. [ABSTRACT FROM AUTHOR]