Abstract
We recently described the Schatten \({\mathcal{S}_{p}}\) class membership of weighted composition operators on Fock–Sobolev spaces and a large class of weighted Fock spaces, where the weights defining such spaces are radial and satisfy a certain mild smoothness condition, in terms of a simple L p integrability condition whenever p ≥ 2. We continue that line of research to extend and complete the gap when 0 < p < 2.
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The author is supported by HSH Grant 1244/H15.
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Mengestie, T. On trace ideal weighted composition operators on weighted Fock spaces. Arch. Math. 105, 453–459 (2015). https://doi.org/10.1007/s00013-015-0827-5
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DOI: https://doi.org/10.1007/s00013-015-0827-5