一类C^2中多圆柱上函数空间上的极值问题

On the Linear Extreme of Bergman Space on Polydisc

定义了一类二维多圆柱上的带权Bergman空间,找到了这个函数空间的再生核,并利用它给出了在它上面的点值泛函的极值问题,进而得到了一个单位球上的混合模Bergman空间中函数的点值关于其模的估计.

In this paper, the Bergman space on polydisc is defined. An integral representation of functions in this space is directed. Then a linear extreme problem is discussed and applied to the study of a similar problem in Bergman space on unit ball.