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On the algebraic properties of the H n 2 , 1 2 spaces

Sergiu KlainermanMatei Machedon

Séminaire Équations aux dérivées partielles

We investigate the multiplicative properties of the spaces H n 2 , 1 2 As in the case of the classical Sobolev spaces H n 2 this space does not form an algebra. We investigate instead the space H n 2 L , more precisely a subspace of it formed by products of solutions of the homogeneous wave equation with data in H n 2 .

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