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 compac...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∞.展开更多
文摘本文主要研究了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∞.
