On the rate of growth of the means MP of holomorphic and pluriharmonic functions on bounded symmetric domains of Cn
On the rate of growth of the means MP of holomorphic and pluriharmonic functions on bounded symmetric domains of Cn
复制标题
DOI：
10.1016/0022-247x(87)90083-7
复制
发表时间：
1987-08
影响因子：
1.3
通讯作者：
Jihuai Shi
中科院分区：
文献类型：
--
作者：
Jihuai Shi
Let ƒ be holomorphic on a bounded symmetric domain of C n, ƒ [β], ƒ [β], the βth fractional derivative and integral of ƒ defined by (2) and (3), J β ƒ and J β ƒ the multiplier transformations of ƒ defined by (4) and (5), respectively. Stoll (J. Math. Anal. Appl., 93 1983, 109–127) investigated the relationship between the growth of the means M P (r, ƒ), M P (r, J β ƒ), and M P (r, J β ƒ), 1⩽ p⩽∞, in the unit ball of C n. We first study the relationship between the growth of the means M P (r, ƒ), M P (r, ƒ [β]), and M P (r, ƒ [β]), 0< p⩽∞, in the bounded symmetric domain of C n, then use these results to generalize the theorems of Stoll to bounded symmetric domain of C n and to the general case 0⩽ p<∞.
