Multiplication operators on weighted Bloch spaces of the first Cartan domains

[摘要] Let $\Re_{I}(m,n)$ be the first Cartan domain. Motivated by some results of the multiplication operators on the holomorphic function spaces on the unit ball of ${\mathbb {C}}^{n}$ , we study multiplication operators on weighted Bloch spaces of the first Cartan domain and obtain some necessary or sufficient conditions for the boundedness and compactness in this paper.

[学科分类] 电力

[关键词] Multiplication operator;First Cartan domain;Weighted Bloch space;Boundedness;Compactness