Geodesic
The Hardy Space H 1 on Manifolds and Submanifolds
Canadian journal of mathematics, Tome 24 (1972) no. 5, pp. 915-925

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

It is well-known that the space L 1(Rn ) of integrable functions on Euclidean space fails to be preserved by singular integral operators. As a result the rather large Lp theory of partial differential equations also fails for p = 1. Since L 1 is such a natural space, many substitute spaces have been considered. One of the most interesting of these is the space we will denote by H 1(R n) of integrable functions whose Riesz transforms are integrable. 
Strichartz, Robert S. The Hardy Space H 1 on Manifolds and Submanifolds. Canadian journal of mathematics, Tome 24 (1972) no. 5, pp. 915-925. doi: 10.4153/CJM-1972-091-5
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