Geodesic
Extension operators for Sobolev spaces commuting with a given transform
Glasgow mathematical journal, Tome 40 (1998) no. 2, pp. 291-296

Voir la notice de l'article provenant de la source Cambridge University Press

We consider a real-valued function r = M(t) on the real axis, such that M(t) < 0 for t < 0. Under appropriate assumptions on M, the pull-back operator M* gives rise to a transform of Sobolev spaces Ws.p (-∞, 0) that restricts to a transform of Ws.p(-∞, ∞). We construct a bounded linear extension operator Ws.p(-∞, 0) → Ws.p(−∞, ∞), commuting with this transform. 
Burenkov, Viktor; Schulze, Bert-Wolfgang; Tarkhanov, Nikolai N. Extension operators for Sobolev spaces commuting with a given transform. Glasgow mathematical journal, Tome 40 (1998) no. 2, pp. 291-296. doi: 10.1017/S0017089500032614
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     title = {Extension operators for {Sobolev} spaces commuting with a given transform},
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     year = {1998},
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