Hardy spaces associated with non-negative self-adjoint operators

S. Dekel; G. Kerkyacharian; G. Kyriazis; P. Petrushev

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arXiv · 1409.0424

Hardy spaces associated with non-negative self-adjoint operators

S. Dekel·G. Kerkyacharian·G. Kyriazis·P. Petrushev

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Abstract

Maximal and atomic Hardy spaces Hp and HAp , 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 Hp = HAp with equivalent norms.

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BibTeX RIS

S. Dekel, G. Kerkyacharian, G. Kyriazis, P. Petrushev. 2014-09-01. Hardy spaces associated with non-negative self-adjoint operators. https://arxiv.org/abs/1409.0424

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