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arXiv · 2505.01707

Convolutions of Orlicz spaces and Orlicz Schatten classes, with applications to Toeplitz operators

Wolfram Bauer·Robert Fulsche·Joachim Toft
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Abstract

Let $\Phi$ be a Young function. We study convolution properties for symbol classes $s_{A,\Phi}$, which consist of all $a$ such that the pseudo-differential operator $\operatorname{Op} _A(a)$ is in the Orlicz Schatten class $\mathscr I _\Phi (L^2(\mathbf R^d))$. Especially we prove Young type results for such classes. We apply the results on Toeplitz operators and prove Orlicz Schatten properties of such operators.

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Wolfram Bauer, Robert Fulsche, Joachim Toft. 2025-05-03. Convolutions of Orlicz spaces and Orlicz Schatten classes, with applications to Toeplitz operators. https://arxiv.org/abs/2505.01707

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