Hankel Operators Between Different Fock-Sobolev Type Spaces

被引：0
|
作者：
Chen, Jianjun [1 ,2 ,3 ]
Wang, Xiaofeng [2 ,3 ]
Xia, Jin [2 ,3 ]
Xu, Guangxia [1 ,2 ,3 ]
机构：
[1] Zhaoqing Univ, Sch Math & Stat, Zhaoqing 526061, Peoples R China
[2] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
[3] Guangzhou Univ, Guangdong Higher Educ Inst, Key Lab Math & Interdisciplinary Sci, Guangzhou 510006, Peoples R China
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2024年 / 18卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Hankel operators; Fock-Sobolev type spaces; IMO spaces;
D O I：
10.1007/s11785-024-01487-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study Hankel operators on the Fock-Sobolev type spaces for all possible 1 <= p,q<infinity and alpha is an element of R. We introduce a function space called integrable mean oscillation on C-n. Then we characterize those symbols f for which the Hankel operators H-f(alpha) and H-f(-alpha) are simultaneously bounded (or compact) from Fock-Sobolev type space F-alpha(p) to Lebesgue space F-alpha(p).
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页数：38
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