The pluricomplex Poisson kernel for strongly convex domains

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Pluricomplex Poisson Kernel for Strongly Convex Domains

In the past decades the study of pluri-potential theory and of its applications played a central role in complex analysis in several variables. In particular, since the basic work of Siciak [31] and Bedford and Taylor [7], [8] a great effort was made to understand the complex MongeAmpère operator and the associated generalized Dirichlet problems (for instance, see [15], [20] and references ther...

متن کامل

Pluripotential Theory, Semigroups and Boundary Behavior of Infinitesimal Generators in Strongly Convex Domains

We characterize infinitesimal generators of semigroups of holomorphic selfmaps of strongly convex domains using the pluricomplex Green function and the pluricomplex Poisson kernel. Moreover, we study boundary regular fixed points of semigroups. Among other things, we characterize boundary regular fixed points both in terms of the boundary behavior of infinitesimal generators and in terms of plu...

متن کامل

On the quadratic support of strongly convex functions

In this paper, we first introduce the notion of $c$-affine functions for $c> 0$. Then we deal with some properties of strongly convex functions in real inner product spaces by using a quadratic support function at each point which is $c$-affine. Moreover, a Hyers–-Ulam stability result for strongly convex functions is shown.

متن کامل

The Poisson Kernel for Drinfeld Modular Curves

In an earlier work [T I], the author described a technique for constructing rigid analytic modular forms on the p-adic upper half plane by means of an integral transform (a "Poisson Kernel"). In this paper, we apply these methods to the study of rigid analytic modular forms on the upper half plane over a complete local field k of characteristic p. Arising out of the theory of Drinfeld modules [...

متن کامل

Convex Defining Functions for Convex Domains

We give three proofs of the fact that a smoothly bounded, convex domain in R n has defining functions whose Hessians are non-negative definite in a neighborhood of the boundary of the domain.

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

ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2008

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-08-04549-2