Hankel Operators on Bergman Spaces with Regular Weights

被引：10
|
作者：
Hu, Zhangjian [1 ]
Lu, Jin [1 ]
机构：
[1] Huzhou Univ, Dept Math, Huzhou 313000, Zhejiang, Peoples R China
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2019年 / 29卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Bergman spaces with regular weights; Hankel operator; (partial derivative)over-bar-Equation; BMO;
D O I：
10.1007/s12220-018-00121-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given some regular weight. on the unit disk D, let L p. be the space of all Lebesgue measurable functions on D for which parallel to f parallel to L p. = (D | f ( z)| p.( z) dA( z))(1/p) < infinity, and let A p. be the weighted Bergman space of all holomorphic functions f. L p.. For all possible 1 < p, q < 8, we characterize these symbols f for which the induced Hankel operators Hf are bounded (or compact) from A p. to L q.. While doing that we develop an approach to obtain some L p. estimates on the canonical solution to <(partial derivative)over bar>-equation.
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页码：3494 / 3519
页数：26
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