Estimates of an integral operator on function spaces

被引：0
|
作者：
Chang, DC [1 ]
Stevic, S
机构：
[1] Georgetown Univ, Dept Math, Washington, DC 20057 USA
[2] Matemat Fak, YU-11000 Belgrade, Serbia, Serbia
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2003年 / 7卷 / 03期
关键词：
analytic function; Hardy space; Bergman space; Bloch space; integral operator; polydisk;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we shall study the family of operators of the form T-(g) over right arrow(f)(z) = integral(0)(z1) ... integral(0)(zn) f(zeta(1), ..., zeta(n)) Pi(j=1)(n) g'(j)(zeta(j))dzeta(j) on Hardy H-p(D-n), the generalized weighted Bergman A(mu)(p,q)(Dn), p epsilon (0, infinity), and alpha-Bloch B-alpha (D-n) spaces on the polydisk D-n = {(z(1), ..., z(n)) epsilon C-n: \z(j)\ < 1, j = 1,...,n}.
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页码：423 / 432
页数：10
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