EMBEDDING DERIVATIVES OF FOCK SPACES AND GENERALIZED WEIGHTED COMPOSITION OPERATORS

被引：2

作者：

Hu, Jianhui ^{[1
]}

Li, Songxiao ^{[2
]}

Qu, Dan ^{[3
]}

机构：

[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China

[2] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu 610054, Sichuan, Peoples R China

[3] Macau Univ Sci & Technol, Fac Informat Technol, Ave Wai Long, Taipa, Macao, Peoples R China

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2021年 / 5卷 / 04期

关键词：

Fock space; Generalized weighted composition operator; Carleson measure; ANALYTIC-FUNCTIONS; CARLESON MEASURES;

D O I：

10.23952/jnva.5.2021.4.07

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give complete characterizations of those positive Borel measures such that the differentiation operator D-(n) f = f((n)) is bounded or compact from Fock spaces F-p(C) into a class weighted Lebesgue spaces on complex plane C. As an application, we characterize the boundedness and compactness of generalized weighted composition operators acting on Fock spaces. We also study the essential norm of these operators on Fock spaces.

引用

页码：589 / 613

页数：25

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