Boundary behavior of infinitesimal generators in the unit ball
نویسندگان
چکیده
منابع مشابه
Pluripotential Theory, Semigroups and Boundary Behavior of Infinitesimal Generators in Strongly Convex Domains
We characterize infinitesimal generators of semigroups of holomorphic selfmaps 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 plu...
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متن کاملOn Landau’s type inequalities for infinitesimal generators∗
We consider Landau’s type inequalities of the form ‖Aku‖n ≤ Cn,k‖u‖n−k‖Anu‖k, u ∈ D(A), 0 < k < n, where A is the infinitesimal generator of either a strongly continuous semigroup or a strongly continuous cosine function of linear contractions on a Banach space X. The constants Cn,k are computed for n ≤ 6.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2013
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2013-05996-x