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arXiv · 2004.03820

Small Hankel operators on vector valued generalzed Fock spaces

H. Bommier-Hato
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Abstract

We study small Hankel operators $h_b$ with operator-valued holomorphic symbol $b$ on a class of vector-valued Fock type spaces. We show that the boundedness / compactness of $h_b$ is equivalent to the membership of $b$ to a specific growth space, which is described via a Littlewood-Paley type condition and a Bergman type projection, and estimate the norm of $h_b$. We also establish some properties of duality and density for these Fock spaces.

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H. Bommier-Hato. 2020-04-08. Small Hankel operators on vector valued generalzed Fock spaces. https://arxiv.org/abs/2004.03820

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