Abstract
In this chapter, we study (big) Hankel operators H φ on the Fock space F α 2. Problems considered include, again, boundedness, compactness, and membership in the Schatten classes. There are basically two theories here: one concerns the simultaneous size estimates for both H φ and \({H}_{\overline{\varphi }}\), and one concerns the size estimates for the single operator H φ. The former is similar to the situations in the more classical Hardy and Bergman space settings, while the latter is unique to the Fock space setting.
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Zhu, K. (2012). Hankel Operators. In: Analysis on Fock Spaces. Graduate Texts in Mathematics, vol 263. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-8801-0_8
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DOI: https://doi.org/10.1007/978-1-4419-8801-0_8
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