English

Hardy spaces associated with non-negative self-adjoint operators

Functional Analysis 2014-09-02 v1

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.

Keywords

Cite

@article{arxiv.1409.0424,
  title  = {Hardy spaces associated with non-negative self-adjoint operators},
  author = {S. Dekel and G. Kerkyacharian and G. Kyriazis and P. Petrushev},
  journal= {arXiv preprint arXiv:1409.0424},
  year   = {2014}
}
R2 v1 2026-06-22T05:45:33.667Z