摘要
In this paper, we characterize the pointwise multiplier space M(D_τ, D_μ) of Dirichlet type spaces in the unit ball of C^n for the values of τ, μ in three cases: (i)τ【0, μ【0, (ii)τ【μ, (iii) τ≥μ,τ】n. and construct two functions to show that M(D_τ)D_τ properly if τ≤n and M(D_τ)M(D_μ) properly if τ】μ and τ】n-1.
In this paper, we characterize the pointwise multiplier space M(D_τ, D_μ) of Dirichlet type spaces in the unit ball of C^n for the values of τ, μ in three cases: (i)τ<0, μ<0, (ii)τ<μ, (iii) τ≥μ,τ>n. and construct two functions to show that M(D_τ)D_τ properly if τ≤n and M(D_τ)M(D_μ) properly if τ>μ and τ>n-1.
基金
Supported by the National Natural Science Foundation of China
the National Education Committee Doctoral Foundation of China
