An interpolation, peak and zero set on a weakly pseudoconvex domain
نویسندگان
چکیده
منابع مشابه
On Analytic Interpolation Manifolds in Boundaries of Weakly Pseudoconvex Domains
Let Ω be a bounded, weakly pseudoconvex domain in Cn, n ≥ 2, with real-analytic boundary. A real-analytic submanifold M ⊂ ∂Ω is called an analytic interpolation manifold if every real-analytic function on M extends to a function belonging to O(Ω). We provide sufficient conditions for M to be an analytic interpolation manifold. We give examples showing that neither of these conditions can be rel...
متن کاملTorus Actions on Weakly Pseudoconvex Spaces
We show that the univalent local actions of the complexification of a compact connected Lie group K on a weakly pseudoconvex space where K is acting holomorphically have a universal orbit convex weakly pseudoconvex complexification. We also show that if K is a torus, then every holomorphic action of K on a weakly pseudoconvex space extends to a univalent local action of KC.
متن کاملOn Weakly Pseudoconvex Cr Manifolds of Dimension 3
Let M be a compact, COO CR manifold of dimension 3 over R. Associated to the CR structure is a first-order differential operator, Db' on M. We study the regularity properties, in terms of L P Sobolev and Holder norms, of the equation Db u = f. M is said to be CR if there is given a COO sub-bundle, denoted T I .o M , of the complexified tangent bundle TM, such that each fiber T~'o M is of dimens...
متن کاملWeakly Aggregative Modal Logic: Characterization and Interpolation
In this paper, we study the model theoretical aspects of Weakly Aggregative Modal Logic (WAML), which is a collection of disguised polyadic modal logics with n-ary modalities whose arguments are all the same. We give a van-Benthem-Rosen characterization theorem of WAML based on an intuitive notion of bisimulation, and show that WAML has Craig Interpolation.
متن کاملOn maximal weakly separated set-systems
For a permutation ω ∈ Sn, Leclerc and Zelevinsky in Am. Math. Soc. Transl., Ser. 2 181, 85–108 (1998) introduced the concept of an ω-chamber weakly separated collection of subsets of {1,2, . . . , n} and conjectured that all inclusionwise maximal collections of this sort have the same cardinality (ω)+n+1, where (ω) is the length of ω. We answer this conjecture affirmatively and present a genera...
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: Publicacions Matemàtiques
سال: 1980
ISSN: 0214-1493
DOI: 10.5565/publmat_21180_43