Morrey空间到Bloch空间上Vloterra型算子的有界性
The Boundedness of Vloterra-Type Operator from Morrey Space to Bloch Space
DOI: 10.12677/PM.2021.1111217, PDF,   
作者: 白田玉：广东工业大学，应用数学学院，广东 广州
关键词: 有界性；Volterra型算子；Bloch空间；Boundedness； Volterra-Type Operator； Bloch Space
摘要: 近年来Volterra型算子的有界性吸引了很多学者的兴趣，在这篇文章中，我们主要刻画了Vloterra型算子 Jg和积分算子Ig从Morrey空间L2,λ(D)到Bloch空间B上的有界性，其中0 < λ < 1。除此之外，我们还研究了算子Jg和算子Ig从Qp空间到Bloch空间B上的有界性。以上研究，进一步完善了Volterra型算子的性质。
Abstract: In recent years, the boundedness of Volterra-type operator has attracted many scholars’interests. In this paper, we characterize the boundedness of the Volterra-type operator Jg and integral operator Ig from Morrey space L2,λ(D) to Bloch space B, where 0 < λ < 1. In addition, we also investigate the boundedness of operator Jg and operator Ig from Qp space to Bloch space B. The above studies have further improved the properties of Volterra-type operator.
文章引用：白田玉. Morrey空间到Bloch空间上Vloterra型算子的有界性[J]. 理论数学, 2021, 11(11): 1949-1955. https://doi.org/10.12677/PM.2021.1111217

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