On the algebraic properties of the H n 2,1 2 spaces
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1997-1998), Exposé no. 7, 9 p.

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 .

@article{SEDP_1997-1998____A7_0,
     author = {Klainerman, Sergiu and Machedon, Matei},
     title = {On the algebraic properties of the $H_{\frac{n}{2},{\frac{1}{2}}}$ spaces},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:7},
     publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {1997-1998},
     mrnumber = {1660520},
     zbl = {1064.46501},
     language = {en},
     url = {http://www.numdam.org/item/SEDP_1997-1998____A7_0/}
}
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Klainerman, Sergiu; Machedon, Matei. On the algebraic properties of the $H_{\frac{n}{2},{\frac{1}{2}}}$ spaces. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1997-1998), Exposé no. 7, 9 p. http://www.numdam.org/item/SEDP_1997-1998____A7_0/

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