Recent work of Bui, Duong and Yan in  defined Besov spaces associated with a certain operator L under the weak assumption that L generates an analytic semigroup e -tL with Poisson kernel bounds on L 2(X) where X is a (possibly non-doubling) quasimetric space of polynomial upper bound on volume growth. This note aims to extend Theorem 5.12 in , the decomposition of Besov spaces associated with Schrödinger operators, to more general α, p, q.
|Number of pages||9|
|Journal||Communications in Mathematical Analysis|
|Publication status||Published - 2014|
- Besov space
- Schrodinger operator