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Hardy spaces of spaces of homogeneous type |
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| Authors: | Xuan Thinh Duong Lixin Yan |
| Institution: | Department of Mathematics, Macquarie University, New South Wales 2109, Australia ; Department of Mathematics, Macquarie University, New South Wales 2109, Australia -- and -- Department of Mathematics, Zhongshan University, Guangzhou, 10275, People's Republic of China |
| Abstract: | Let  be a space of homogeneous type, and  be the generator of a semigroup with Gaussian kernel bounds on  . We define the Hardy spaces  of  for a range of  , by means of area integral function associated with the Poisson semigroup of  , which is proved to coincide with the usual atomic Hardy spaces  on spaces of homogeneous type. |
| Keywords: | Spaces of homogeneous type Hardy spaces semigroup Calder\'on-type reproducing formula atomic decomposition |
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