Hardy spaces over manifolds

יום ב', 08/01/2018 - 14:00
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Abstract: 

Maximal and atomic Hardy spaces $H^p$ and $H_A^p$ , $0 < p = 1$, are considered in
the setting of a doubling metric measure space in the presence of a non-negative
self-adjoint operator whose heat kernel has Gaussian localization. It is shown that
$H^p = H_A^p$ with equivalent norms.