CAJ | 학술논문

令Ω1与Ω2是Cn中的两个有界齐性域,假设φ:Ω1→Ω2是一个全纯映射. 在本文中,我们研究相应的复合算子Cφ:β(Ω2)→β(Ω1)的有界性和紧性. 特别地,我们讨论取Bn或Um的情形.
령Ω1여Ω2시Cn중적량개유계제성역,가설φ:Ω1→Ω2시일개전순영사. 재본문중,아문연구상응적복합산자Cφ:β(Ω2)→β(Ω1)적유계성화긴성. 특별지,아문토론취Bn혹Um적정형.
Let Ω1 and Ω2 be two bounded homogeneous domains in Cn. Suppose φ:Ω1→Ω2 is a holomorphic mapping. In this paper, the boundedness and compactness of the corresponding composition operator Cφ from the Bloch space β(Ω2) to β(Ω1) are studied, including the unit ball Bn and the polydics Um in Cn.