从Hardy空间到Zygmund-型空间的加权微分复合算子

Weighted Differentiation Composition Operators from Hardy Spaces to Zygmund-Type Spaces

设φ为单位圆盘D上的解析自映射,H（D）表示D上的所有解析函数的集合,u∈H（D）.研究了从Hardy空间到Zygmund-型空间及小Zygmund-型空间的加权微分复合算子D_（φ,u）~n,的有界性和紧性,其中n∈N0.

Let φ be an analytic self-map of the unit disk D, and H（II）） the space of analytic functions on D and u E H（D）. The boundedness and compactness of the weighted differ- entiation composition operator Dφn,u, where n∈N0, from Hardy spaces to Zygmund-type spaces, and to little Zygmund-type spaces are investigated in this paper.