从Hardy空间到Bloch空间的Volterra型复合算子  

Volterra-type Composition Operators from Hardy Spaces into Bloch-type Spaces

作　　者：李腾飞[1] LI Tengfei(Department of Information Engineering, Shanwei Vocational and Technical College, Shanwei 516600, China)

机构地区：[1]汕尾职业技术学院信息工程系

出　　处：《应用数学学报》2019年第3期305-317,共13页Acta Mathematicae Applicatae Sinica

摘　　要：本文研究了从Hardy空间到Bloch型空间的Volterra型复合算子的有界性和紧性问题,事实上,我们给出了该算子的范数和本性范数刻画。同时我们研究了从Hardy空间到小Bloch型空间的Volterra型复合算子的有界性和紧性问题。In his paper, we study the boundedness, compactness and essential norm of the Volterra-type composition operators from Hardy spaces into the Bloch-type spaces. The boundedness, compactness of these operators from Hardy spaces into little Bloch- type spaces are also investigated.

关 键 词：HARDY空间 BLOCH型空间 Volterra型复合算子 有界性 紧性 范数 本性范数 

分 类 号：O174.5[理学—数学]