Lineally convex Hartogs domains
نویسندگان
چکیده
We study lineally convex domains of a special type, viz. Hartogs domains, and prove that such sets can be characterized by local conditions if they are smoothly bounded.
منابع مشابه
Estimates for Solutions of the ∂̄ -equation and Application to the Characterization of the Zero Varieties of the Functions of the Nevanlinna Class for Lineally Convex Domains of Finite Type
ABSTRACT. In the late ten years, the resolution of the equation ∂̄u= f with sharp estimates has been intensively studied for convex domains of finite type in C by many authors. Generally they used kernels constructed with holomorphic support function satisfying “good” global estimates. In this paper, we consider the case of lineally convex domains. Unfortunately, the method used to obtain global...
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