Exact asymptotic orders of Kolmogorov, linear, and sampling widths are determined for Gaussian Sobolev embeddings W^s_p(R^d, γ) into L_q(R^d, γ) when 1 ≤ q < p < ∞ and when p = q = 2.
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Widths of embeddings of Gaussian Sobolev spaces
Exact asymptotic orders of Kolmogorov, linear, and sampling widths are determined for Gaussian Sobolev embeddings W^s_p(R^d, γ) into L_q(R^d, γ) when 1 ≤ q < p < ∞ and when p = q = 2.