Boundary behavior of infinitesimal generators in the unit ball
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- by Filippo Bracci and David Shoikhet PDF
- Trans. Amer. Math. Soc. 366 (2014), 1119-1140 Request permission
Abstract:
We prove a Julia-Wolff-Carathéodory type theorem for infinitesimal generators on the unit ball in $\mathbb {C}^{n}$. Moreover, we study jets expansions at the boundary and give necessary and sufficient conditions on such jets for an infinitesimal generator to generate a group of automorphisms of the ball.References
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Additional Information
- Filippo Bracci
- Affiliation: Dipartimento Di Matematica, Università di Roma “Tor Vergata”, Via Della Ricerca Scientifica 1, 00133, Roma, Italy
- MR Author ID: 631111
- Email: fbracci@mat.uniroma2.it
- David Shoikhet
- Affiliation: Department of Mathematics, ORT Braude College, 21982 Karmiel, Israel
- Email: davs@braude.ac.il
- Received by editor(s): March 8, 2012
- Received by editor(s) in revised form: September 22, 2012
- Published electronically: September 19, 2013
- Additional Notes: The first author was partially supported by the ERC grant “HEVO - Holomorphic Evolution Equations” n. 277691
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 366 (2014), 1119-1140
- MSC (2010): Primary 37L05; Secondary 32A40, 20M20
- DOI: https://doi.org/10.1090/S0002-9947-2013-05996-X
- MathSciNet review: 3130328