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arXiv · 1912.00686

An invariant variant of the little Grothendieck theorem for Sobolev spaces

Krystian Kazaniecki·Piotr Pakosz·Michał Wojciechowski
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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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Krystian Kazaniecki, Piotr Pakosz, Michał Wojciechowski. 2019-12-02. An invariant variant of the little Grothendieck theorem for Sobolev spaces. https://arxiv.org/abs/1912.00686

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