Fock空间上的小Hankel算子  

Small Hankel Operators on Fock Spaces

作　　者：邓年 

机构地区：[1]重庆师范大学数学科学学院,重庆

出　　处：《理论数学》2025年第2期198-203,共6页Pure Mathematics

摘　　要：本文主要研究了Fock空间Fαp上小Hankel算子hφ的有界性和紧性,得到了hφ在Fαp上有界的充分必要条件是其符号φ属于Fock空间Fα2∞;hφ在Fαp上紧的充分必要条件是φ属于fα2∞。This paper mainly studies the boundedness and compactness of the small Hankel operator hφon Fock space Fαp. It is found that the necessary and sufficient condition for hφbeing bounded on Fαpis that its symbol φbelongs to Fock space Fα2∞;the necessary and sufficient condition for hφbeing compact on Fαpis that φbelongs to fα2∞.

关 键 词：小Hankel算子 FOCK空间 有界性 紧性 

分 类 号：O17[理学—数学]