Two-weighted inequalities for the derivatives of holomorphic functions and Carleson measures on the unit ball

被引：4

作者：

Kang, H ^{[1
]}

Koo, H

机构：

[1] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea

[2] Hankuk Univ Foreign Studies, Dept Math, Yongin 449791, Kyungki Do, South Korea

来源：

NAGOYA MATHEMATICAL JOURNAL | 2000年 / 158卷

关键词：

D O I：

10.1017/S0027763000007340

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize those positive measure mu's on the higher dimensional unit ball such that "two-weighted inequalities" hold for holomorphic functions and their derivatives. Characterizations are given in terms of the Carleson measure conditions. The results of this paper also distinguish between the fractional and the tangential derivatives.

引用

页码：107 / 131

页数：25

共 19 条

[1]

[Anonymous], 1989, DISSERTATIONES MATH

[2] ESTIMATES FOR DERIVATIVES OF HOLOMORPHIC-FUNCTIONS IN PSEUDOCONVEX DOMAINS [J].