单位球上加权Begrman空间和Hardy空间上的保范复合算子

Isometries of the Composition Operators on Weighted Bergman Spaces and Hardy Spaces of the Unit Ball in C^n

作者证明了复合算子C_φ是单位球上加权Begrman空间上的保范算子当且仅当φ是旋转变换.对单位球上的Hardy空间上的保范复合算子仅得到部分结果.

The author gets that a composition operator C is an isometry on weighted Bergman spaces of the unit ball if and only if is a rotation. For isometries of the compo- sition operators on Hardy spaces of the unit ball only partial results are obtained.