We introduce the BMO spaces and use them to characterize complex-valued functions f such that the big Hankel operators H-f and H-f over bar are both bounded or compact from a weighted large Fock space F-p phi into a weighted Lebesgue space L-p phi when 1 & LE;p <& INFIN;.
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Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R ChinaCent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
Ma, Pan
Yan, Fugang
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Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
SUNY Albany, Dept Math & Stat, Albany, NY 12222 USACent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
Yan, Fugang
Zheng, Dechao
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Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA
Chongqing Univ, Ctr Math, Chongqing 401331, Peoples R ChinaCent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
Zheng, Dechao
Zhu, Kehe
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SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA
Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R ChinaCent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China