Approximation of SαS Lévy processes in Lp norm

We determine the weak asymptotic behavior of linear and Kolmogorov widths of the SαS Lévy process in the Banach spaces Lp, p∈[1,∞) for α∈(0,2). This complements earlier work by Maiorov and Wasilkowski, who treated the case α=2, i.e., the Wiener process.