Pluripotential theory, semigroups and boundary behavior of infinitesimal generators in strongly convex domains
F Bracci, MD Contreras, S Díaz-Madrigal - Journal of the European …, 2009 - ems.press
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.
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.
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