Klainerman, Sergiu; Machedon, Matei On the algebraic properties of the \(H_{n/2,1/2}\) spaces. (English) Zbl 1064.46501 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 1997-1998, Exp. No. VII, 9 p. (1998). Summary: We investigate the multiplicative properties of the spaces \(H^{{n\over 2},{1\over 2}}\). As in the case of the classical Sobolev spaces \(H^{{n\over 2}}\), this space does not form an algebra. We investigate instead the space \(H^{{n\over 2}}\cap L^\infty\), more precisely, a subspace of it formed by products of solutions of the homogeneous wave equation with data in \(H^{{n\over 2}}\). MSC: 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems PDFBibTeX XMLCite \textit{S. Klainerman} and \textit{M. Machedon}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 1997--1998, Exp. No. VII, 9 p. (1998; Zbl 1064.46501) Full Text: Numdam EuDML