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arXiv · 2403.04469

Characterization of Besov spaces with dominating mixed smoothness by differences

Paul Nikolaev·David J. Prömel·Mathias Trabs
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Abstract

Besov spaces with dominating mixed smoothness, on the product of the real line and the torus as well as bounded domains, are studied. A characterization of these function spaces in terms of differences is provided. Applications to random fields, like Gaussian fields and the stochastic heat equation, are discussed, based on a Kolmogorov criterion for Besov regularity with dominating mixed smoothness.

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Paul Nikolaev, David J. Prömel, Mathias Trabs. 2024-03-07. Characterization of Besov spaces with dominating mixed smoothness by differences. https://arxiv.org/abs/2403.04469

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