Reproducing Kernel for D~2(Ω,ρ) and Metric Induced by Reproducing Kernel
Zhao Zhen · Journal of Mathematical Research and Exposition · 2009
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.