Reproducing Kernel for D^2(Ω,ρ) and Metric Induced by Reproducing Kernel  

D^2(Ω,ρ)的再生核与再生核诱导的度量(英文)

作　　者：赵振刚 

机构地区：[1]Department of Mathematics,Capital Normal University

出　　处：《Journal of Mathematical Research and Exposition》2009年第4期587-598,共12页数学研究与评论（英文版）

基　　金：the National Natural Science Foundation of China(No.10401024)

摘　　要：An important property of the reproducing kernel of D2(Ω,ρ) is obtained and the reproducing kernels for D2(Ω,ρ) are calculated when Ω = Bn × Bn and ρ are some special functions.A reproducing kernel is used to construct a semi-positive definite matrix and a distance function defined on Ω×Ω.An inequality is obtained about the distance function and the pseudo-distance induced by the matrix.An important property of the reproducing kernel of D^2（Ω, ρ） is obtained and the reproducing kernels for D^2（Ω, ρ） are calculated when Ω = Bn× Bn and ρ are some special functions. A reproducing kernel is used to construct a semi-positive definite matrix and a distance function defined on Ω×Ω. An inequality is obtained about the distance function and the pseudodistance induced by the matrix.

关 键 词：harmonic Bergman spaces harmonic Bergman kernels. 

分 类 号：O174.41[理学—数学]