Pointwise multipliers and corona type decomposition in BMOA

被引：117

作者：

Ortega, JM

Fabrega, J

机构：

[1] Universitat de Barcelona, Dept. de Matemat. Apl. i Analisi, 08071 Barcelona

来源：

ANNALES DE L INSTITUT FOURIER | 1996年 / 46卷 / 01期

关键词：

BMOA; pointwise multipliers; corona problem;

D O I：

10.5802/aif.1509

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we obtain several characterizations of the pointwise multipliers of the space BMOA in the unit ball B of C-n. Moreover, if g(1),...,g(m) are holomorphic functions on B, we prove that Mg(f)(z) = [GRAPHICS] g(j)(z)f(j)(z) maps BMOA x...x BMOA onto BMOA if and only if the functions g(j) are multipliers of the space BMOA and satisfy [GRAPHICS] \g(j)(z)\ greater than or equal to delta > 0.

引用

页码：111 / &

页数：28

共 32 条

[1]

AMAR E, 1979, B SOC MATH FR, V107, P23

[2] WOLFF TYPE ESTIMATES AND THE H-P CORONA PROBLEM IN STRICTLY PSEUDOCONVEX DOMAINS [J].