Abstract
Let X be a space of homogeneous type, and L be the generator of a semigroup with Gaussian kernel bounds on L2(X). We define the Hardy spaces Hs p(X) of X for a range of p, by means of area integral function associated with the Poisson semigroup of L, which is proved to coincide with the usual atomic Hardy spaces Hat p(X) on spaces of homogeneous type.
Original language | English |
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Pages (from-to) | 3181-3189 |
Number of pages | 9 |
Journal | Proceedings of the American Mathematical Society |
Volume | 131 |
Issue number | 10 |
DOIs | |
Publication status | Published - Oct 2003 |
Keywords
- Atomic decomposition
- Calderón-type reproducing formula
- Hardy spaces
- Semigroup
- Spaces of homogeneous type