Szegö kernel function on some domains of infinite connectivity

نویسندگان

چکیده

برای دانلود رایگان 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 Bergman Kernel Function of Some Reinhardt Domains

The boundary behavior of the Bergman Kernel function of some Reinhardt domains is studied. Upper and lower bounds for the Bergman kernel function are found at the diagonal points (z, z̄). Let D be the Reinhardt domain D = { z ∈ C | ‖z‖α = n ∑

متن کامل

Szegö kernel of a symplectic quotient

The object of this paper is the relation between the Szegö kernel of an ample line bundle on a complex projective manifold, M , and the Szegö kernel of the induced polarization on the quotient of M by the holomorphic action of a compact Lie group, G. Let M be an n-dimensional complex projective manifold and L an ample line bundle on it. Suppose a connected compact Lie group G acts on M as a gro...

متن کامل

Fekete-Szegö Problem of Functions Associated with Hyperbolic Domains

In the field of Geometric Function Theory, one can not deny the importance of analytic and univalent functions. The characteristics of these functions including their taylor series expansion, their coefficients in these representations as well as their associated functional inequalities have always attracted the researchers. In particular, Fekete-Szegö inequality is one of such vastly studied a...

متن کامل

Boundary Behavior of the Bergman Kernel Function on Some Pseudoconvex Domains in C "

Let il be a bounded pseudoconvex domain in C" with smooth denning function r and let zo 6 bCl be a point of finite type. We also assume that the Levi form ddr(z) of bil has (n — 2)-positive eigenvalues at z0 . Then we get a quantity which bounds from above and below the Bergman kernel function in a small constant and large constant sense.

متن کامل

Generalized holomorphic Szegö kernel in 3D spheroids

Monogenic orthogonal polynomials over 3D prolate spheroids were previously introduced and shown to have some remarkable properties. In particular, the underlying functions take values in the quaternions (identified with R), and are generally assumed to be nullsolutions of the well known Moisil-Théodoresco system. In this paper, we show that these polynomial functions play an important role in d...

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: Kodai Mathematical Journal

سال: 1961

ISSN: 0386-5991

DOI: 10.2996/kmj/1138844464