Hardy spaces associated with non-negative self-adjoint operators
Volume 239 / 2017
Studia Mathematica 239 (2017), 17-54
MSC: Primary 42B30; Secondary 47G10.
DOI: 10.4064/sm8646-12-2016
Published online: 21 April 2017
Abstract
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 $H^p=H^p_A$ with equivalent norms.
