Geodesic
Pluripotential theory, semigroups and boundary behavior of infinitesimal generators in strongly convex domains
Journal of the European Mathematical Society, Tome 12 (2010) no. 1, pp. 23-53 Cet article a éte moissonné depuis la source EMS Press

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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.
DOI : 10.4171/jems/188
Classification : 32-XX, 00-XX
Keywords: Semigroups, boundary fixed points, infinitesimal generators, iteration theory, pluripotential theory 
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     author = {Filippo Bracci and Manuel D. Contreras and Santiago D{\'\i}az-Madrigal},
     title = {Pluripotential theory, semigroups and boundary behavior of infinitesimal generators in strongly convex domains},
     journal = {Journal of the European Mathematical Society},
     pages = {23--53},
     year = {2010},
     volume = {12},
     number = {1},
     doi = {10.4171/jems/188},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/188/}
}
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Filippo Bracci; Manuel D. Contreras; Santiago Díaz-Madrigal. Pluripotential theory, semigroups and boundary behavior of infinitesimal generators in strongly convex domains. Journal of the European Mathematical Society, Tome 12 (2010) no. 1, pp. 23-53. doi: 10.4171/jems/188

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