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Hardy spaces associated with non-negative self-adjoint operators

Hardy spaces associated with non-negative self-adjoint operators

The maximal and atomic Hardy spaces $H^p$ and $H^p_A$, $0 \lt p\le 1$, 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 $