Small Hankel operators on generalized weighted Fock spaces

Cascante, Carme; Fàbrega, Joan; Pascuas, Daniel

doi:10.1090/proc/16534

Small Hankel operators on generalized weighted Fock spaces
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by Carme Cascante, Joan Fàbrega and Daniel Pascuas

Proc. Amer. Math. Soc. 151 (2023), 4827-4839

DOI: https://doi.org/10.1090/proc/16534

Published electronically: June 30, 2023

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Abstract:

In this work we characterize the boundedness, compactness and membership in the Schatten class of small Hankel operators on generalized weighted Fock spaces $F^{p,\ell }_\alpha (\omega )$ associated to an $\mathcal {A}^\ell _p$ weight $\omega$, for $1<p<\infty$, $\ell \ge 1$, and $\alpha >0$.

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