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Describes intersections of tensor products in Besov and Bessel potential spaces, suggesting broader applications in functional analysis.
We study how Besov spaces Bˢp,p( R²) and Bessel potential spaces Hˢₚ( R²) can be described as intersections of tensor products of the associated univariate spaces with Lₚ( R) . This generalizes a well-known result by Griebel and Oswald for H¹( R²) in various directions.
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Hansen et al. (2025) studied this question.
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