On Dominating Sets for Uniform Algebra on Pseudoconvex Domains
نویسندگان
چکیده
منابع مشابه
Pseudolocal Estimates for ∂̄ on General Pseudoconvex Domains
Extending the well-known results for smoothly bounded case, we show that subelliptic and pseudolocal estimates hold in the neighbourhood of a smooth strictly pseudoconvex (or finite type) boundary point of any pseudoconvex domain (i.e. possibly unbounded or with nonsmooth boundary). As an application, we also prove the corresponding generalization of Kerzman’s and Fefferman-Boutet de Monvel-Sjö...
متن کاملOn a Local Characterization of Pseudoconvex Domains
Pseudoconvexity of a domain in C is described in terms of the existence of a locally defined plurisubharmonic/holomorphic function near any boundary point that is unbounded at the point.
متن کاملUniform Functors on Sets
This paper is a contribution to the study of uniformity conditions for endofunctors on sets initiated in Aczel [1] and pursued later in other works such as Turi [17]. The main results have been that the “usual” functors on sets are uniform in our sense, and that assuming the Anti-Foundation Axiom AFA, a uniform functor H has the property that its greatest fixed point H∗ is a final coalgebra who...
متن کاملOn graphs with disjoint dominating and 2-dominating sets
A DD2-pair of a graph G is a pair (D,D2) of disjoint sets of vertices of G such that D is a dominating set and D2 is a 2-dominating set of G. Although there are infinitely many graphs that do not contain a DD2-pair, we show that every graph with minimum degree at least two has a DD2-pair. We provide a constructive characterization of trees that have a DD2-pair and show that K3,3 is the only con...
متن کاملThe Order of Plurisubharmonicity on Pseudoconvex Domains with Lipschitz Boundaries
Let Ω ⊂⊂ Cn be a bounded pseudoconvex domain with Lipschitz boundary. Diederich and Fornaess have shown that when the boundary of Ω is C2, there exists a constant 0 < η < 1 and a defining function ρ for Ω such that −(−ρ)η is a plurisubharmonic function on Ω. In this paper, we show that the result of Diederich and Fornaess still holds when the boundary is only Lipschitz.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pure and Applied Mathematics Quarterly
سال: 2010
ISSN: 1558-8599,1558-8602
DOI: 10.4310/pamq.2010.v6.n3.a5