On subordinated semigroups and Hardy spaces associated to fractional powers of operators

The Anh Bui, Michael G. Cowling, Xuan Thinh Duong

Let $L$ be a positive self-adjoint operator on $L^2(X)$, where $X$ is a $\sigma$-finite metric measure space. When $\alpha \in (0,1)$, the subordinated semigroup $\{\exp(-tL^α):t \in \mathbb{…