原子分解理論在Hardy空間上扮演著重要角色。在第一年中，我們證明架構在海參堡群上的flag Hardy空間的原子分解理論。眾所皆知，海參堡群是ㄧ個齊次群的一個特例。在第二年中，我們要定義架構在齊次群上的flag Hardy空間並證明此空間也有原子分解理論。 ;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.
