Reverse Hypercontractivity for Subharmonic Functions

[摘要] Contractivity and hypercontractivity properties of semigroupsare now well understood when the generator, $A$, is a Dirichlet formoperator.It has been shown that in some holomorphic function spaces thesemigroup operators, $e^{-tA}$, can be bounded {it below} from$L^p$ to $L^q$ when $p,q$ and $t$ are suitably related.We will show that such lower boundedness occurs also in spacesof subharmonic functions.

[学科分类] 数学（综合）