从N_α到B_μ空间的复合算子

Composition operator from N_α to B_μ spaces

介绍解析函数空间H(D)上的两个子空间Nα和Bμ,构造Nα中的检测函数,结合解析函数φ:D→D的函数性质,研究了从Nα到Bμ及其子空间Bμ,0之间的复合算子的有界性与紧性.

Necessary and sufficient condition of the boundedness and compactness of composition operator Cφ = fo Bμare studied from Nα to Bμ and subspace Bμ,0 by introducing two subspaces Nα and Bμ of the analytic function space H（D） with using test function of Nα on the property of analytic function φ ：D→D.