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 $\ddot{I}ƒ$-finite metric measure space. When $\hat{I}\pm \in (0,1)$, the subordinated semigroup $\{\exp(-tL^α):t \in \math…