Mathematics – Complex Variables
Scientific paper
2006-07-26
Mathematics
Complex Variables
32 pages
Scientific paper
We characterize infinitesimal generators of semigroups of holomorphic self-maps of strongly convex domains using the pluricomplex Green function and the pluricomplex Poisson kernel. Moreover, we study boundary regular fixed points of semigroups. Among other things, we characterize boundary regular fixed points both in terms of the boundary behavior of infinitesimal generators and in terms of pluripotential theory.
Bracci Filippo
Contreras Manuel D.
Diaz-Madrigal Santiago
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