Conical Plurisubharmonic Measure and New Cross Theorems

نویسنده

  • VIÊT-ANH NGUYÊN
چکیده

We study the boundary behavior of the conical plurisubharmonic measure. As an application, we establish some new extension theorems for separately holomorphic mappings defined on cross sets.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

0 Ju l 2 00 7 Plurisubharmonic functions on the octonionic plane and Spin ( 9 ) - invariant valuations on convex sets

A new class of plurisubharmonic functions on the octonionic plane O2 ≃ R16 is introduced. An octonionic version of theorems of A.D. Aleksandrov [3] and ChernLevine-Nirenberg [24], and B locki [21] are proved. These results are used to construct new examples of continuous translation invariant valuations on convex subsets of O2 ≃ R 16. In particular a new example of Spin(9)-invariant valuation o...

متن کامل

Plurisubharmonic functions on the octonionic plane and Spin ( 9 ) - invariant valuations on convex sets

A new class of plurisubharmonic functions on the octonionic plane O2 ≃ R16 is introduced. An octonionic version of theorems of A.D. Aleksandrov [3] and ChernLevine-Nirenberg [24], and B locki [21] are proved. These results are used to construct new examples of continuous translation invariant valuations on convex subsets of O2 ≃ R 16. In particular a new example of Spin(9)-invariant valuation o...

متن کامل

Plurisubharmonic Functions and the Structure of Complete Kähler Manifolds with Nonnegative Curvature

In this paper, we study global properties of continuous plurisubharmonic functions on complete noncompact Kähler manifolds with nonnegative bisectional curvature and their applications to the structure of such manifolds. We prove that continuous plurisubharmonic functions with reasonable growth rate on such manifolds can be approximated by smooth plurisubharmonic functions through the heat flow...

متن کامل

New operators through measure of non-compactness

In this article, we use two concepts, measure of non-compactness and Meir-Keeler condensing operators. The measure of non-compactness has been applied for existence of solution nonlinear integral equations, ordinary differential equations and system of differential equations in the case of finite and infinite dimensions by some authors. Also Meir-Keeler condensing operators are shown in some pa...

متن کامل

Plurisubharmonic functions on hypercomplex manifolds and HKT-geometry

A hypercomplex manifold is a manifold equipped with a triple of complex structures I, J,K satisfying the quaternionic relations. We define a quaternionic analogue of plurisubharmonic functions on hypercomplex manifolds, and interpret these functions geometrically as potentials of HKT (hyperkähler with torsion) metrics, and prove a quaternionic analogue of A.D. Aleksandrov and Chern-Levine-Niren...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009