在Hardy空间及加权Bergman空间之间的广义Volterra型算子

Generalized Volterra-type Operators between Hardy Space and Weighted Bergman Spaces

近年来广义Volterra型算子在一些具体的空间上的有界性和紧性吸引了很多学者的兴趣,但在Hardy空间和加权Bergman空间之间的广义Volterra型算子的研究尚未完善。因此,本文刻画了在Hardy空间和加权Bergman空间之间的广义Volterra型算子的有界性和紧性,进一步完善了广义Volterra型算子的性质。

In recent years, the boundedness and compactness of generalized Volterra-type operators on some specific spaces have attracted many scholars’ interests, but the study of the generalized Volterra-type operators between Hardy space and weighted Bergman space are not yet complete. Therefore, this paper characterized the boundedness and compactness of generalized Volterra-type operators between Hardy space and weighted Bergman space, and the properties of generalized Volterra-type operators were further improved.