单位球上对数Bloch空间到F(p,q,s)空间的Volterra复合算子

Volterra Composition Operator from Logarithmic Bloch Spaces to F(p,q,s) Spaces on the Unit Ball

假设φ为C^n中单位球上的解析自映射,通过研究C^n中单位球上从对数Bloch空间到F(p,q,s)空间的Volterra型复合算子,引入检验函数,得到V_φ~g:β_L→F(p,q,s)为有界算子和紧算子的充要条件。

Let φ denote an analytic self-map in the unit ball of C^n.In this paper,we discuss the composition operator Vφ^g is bounded and compact from the Bloch spaces to the F(p,q,s) spaces.We can obtain the necessary and sufficient conditions by introducing some test function.