The resolvent of a periodically oscillating Lévy-type operator converges in operator norm to the resolvent of the averaged fractional Laplacian, with rates ε^α, ε(1+|ln ε|)^2, and ε^{2-α} depending on α.
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Operator estimates in homogenization of L\'evy-type operators with periodic coefficients
The resolvent of a periodically oscillating Lévy-type operator converges in operator norm to the resolvent of the averaged fractional Laplacian, with rates ε^α, ε(1+|ln ε|)^2, and ε^{2-α} depending on α.