Abstract
We prove that every Hilbert space operator which factorizes invariantly through Sobolev space \(W_1^1({{\mathbb{T}}^d})\) belongs to some non-trivial Schatten class.
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Kazaniecki, K., Pakosz, P. & Wojciechowski, M. An invariant version of the little Grothendieck theorem for Sobolev spaces. Isr. J. Math. 244, 33–47 (2021). https://doi.org/10.1007/s11856-021-2166-5
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DOI: https://doi.org/10.1007/s11856-021-2166-5