The Hardy Space H1 on Manifolds and Submanifolds
- 1 October 1972
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 24 (5) , 915-925
- https://doi.org/10.4153/cjm-1972-091-5
Abstract
It is well-known that the space L1(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 L1 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 H1(Rn) of integrable functions whose Riesz transforms are integrable.Keywords
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