Subordination chains and biholomorphic mappings on bounded balanced pseudoconvex domains
نویسندگان
چکیده
منابع مشابه
Local Boundary Regularity of the Szegő Projection and Biholomorphic Mappings of Non-pseudoconvex Domains
It is shown that the Szegő projection S of a smoothly bounded domain Ω, not necessarily pseudoconvex, satisfies local regularity estimates at certain boundary points, provided that condition R holds for Ω. It is also shown that any biholomorphic mapping f : Ω → D between smoothly bounded domains extends smoothly near such points, provided that a weak regularity assumption holds for D. 1. Prelim...
متن کاملSecond Order Differential Subordinations of Holomorphic Mappings on Bounded Convex Balanced Domains in C
In this paper, we obtain some second order differential subordinations of holomorphic mappings on a bounded convex balanced domain Ω in C. These results imply some first order differential subordinations of holomorphic mappings on a bounded convex balanced domain Ω in C. When Ω is the unit disc in the complex plane C, these results are just ones of Miller and Mocanu et al. about differential su...
متن کاملComparison between the Kobayashi and Carathéodory Distances on Strongly Pseudoconvex Bounded Domains in C"
In this paper we prove that the ratio between the Carathéodory distance and the Kobayashi distance in a strongly pseudoconvex bounded domain in C" is arbitrarily close to 1 whenever at least one of the points is sufficiently near the boundary.
متن کاملPseudolocal 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 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: Computers & Mathematics with Applications
سال: 2011
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2011.02.011