Abstract
In this paper, we introduce a function space integrable mean oscillation (IMO) on \({\mathbb {C}}^n\). With IMO, for all possible \(1\le p,q<\infty \) we characterize those symbols f on \( {\mathbb {C}}^n\) for which the Hankel operators \(H_{f}\) and \( H_{\overline{f}}\) are simultaneously bounded (or compact) from Fock space \(F^{p}_{\alpha }\) to Lebesgue space \(L^{q}_{\alpha }\). As a consequence we obtain all holomorphic functions f for which the Hankel operators \(H_{\overline{f}}\) are bounded (or compact) from \(F^{p}_{\alpha }\) to \(L^{q}_{\alpha }\).
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This research is partially supported by the National Natural Science Foundation of China (11771139, 11571105, 11601149), Natural Science Foundation of Zhejiang Province (LY15A010014, LQ13A010005)
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Hu, Z., Wang, E. Hankel Operators Between Fock Spaces. Integr. Equ. Oper. Theory 90, 37 (2018). https://doi.org/10.1007/s00020-018-2459-1
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DOI: https://doi.org/10.1007/s00020-018-2459-1