Strong hypercontractivity and relative subharmonicity
This work is concerned with a special class of Dirichlet forms over a complex manifold. The main goal of this paper is to show how some of new hypercontractivity properties of the semigroup \(e^{-tA},\) generated by some \(A\) in holomorphic function spaces can be deduced from standard hypercontractivity by a method that extends the classical submean-value property of subharmonic functions.
scientific article; zbMATH DE number 1763758
scientific article