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Hardy Spaces Associated with Non-Negative Self-Adjoint Operators


A 2014 Preprint by S. Dekel, G. Kerkyacharian, G. Kyriazis, and P. Petrushev

  • 2014:03
  • Maximal and atomic Hardy spaces $H^p$ and $H^p _ A$, $0<p\le 1$, 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 and the Markov property. It is shown that $H^p=H^p _ A$ with equivalent norms.

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