Subspaces of $L^{1}(\mathbb {R}^{d})$
Subspaces of $L^{1}(\mathbb {R}^{d})$
The relationship of the Hardy space $H^{1}(R^{d})$ and the space of integrable functions $L^{1}(R^{d})$ is examined in terms of intermediate spaces of functions that are described as sums of atoms. It is proved that these spaces have dual spaces that lie between the space of functions of bounded mean oscillation, …