从Zygmund型空间到Bloch型空间的复合算子的差分

Differences of composition operators from Zygmund-type spaces to Bloch-type spaces

给出复合算子的差分C_(φ)-C_(ψ):Z_(α)→B^(β)(α>1,β>0)的有界性与紧性的一些等价条件.此外,作为非平凡的拓展,利用Taylor级数和Raabe判别法构建了有界或紧的复合算子的差分C_(φ)-C_(ψ):Z_(α),0→B^_(0)(β)的等价刻画.

Several equivalent conditions for the boundedness and compactness of the difference C_(φ)-C_(ψ):Z_(α)→B^(β)(α>1,β>0) were presented forα>1,β>0.As a nontrivial extension,Taylor series and Raabe discriminant are used to establish the complete characteri-zations for bounded or compact C_(φ)-C_(ψ):Z_(α),0→B^_(0)(β).