Abstract:In this paper we study the sampling recovery problem for certain relevant multivariate function classes which are not compactly embedded into L ∞ . Recent tools relating the sampling numbers to the Kolmogorov numbers in the uniform norm are therefore not applicable. In a sense, we continue the research on the small smoothness problem by considering "very" small smoothness in the context of Besov and Triebel-Lizorkin spaces with dominating mixed regularity. There is not much known on the recovery of such functi… Show more
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