The Atomic Decomposition of Flag Hardy Spaces(1/2)

The atomic decomposition theory play an important role in Hardy spaces. In the first year, w show that the atomic decomposition theory in the flag Hardy spaces on Heisenberg group. It is well-known that Heisenberg group is a special case of homogeneous group.In the second year, we introduce the flag Hardy spaces on homogeneous group and prove that these spaces a;so have atomic decomposition theory.