A maximal function characterization for Hardy spaces associated to nonnegative self-adjoint operators satisfying Gaussian estimates

Liang Song, Lixin Yan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

Let L be a nonnegative, self-adjoint operator satisfying Gaussian estimates on L2(Rn). In this article we give an atomic decomposition for the Hardy spaces HL,maxp(Rn) in terms of the nontangential maximal functions associated with the heat semigroup of L, and this leads eventually to characterizations of Hardy spaces associated to L, via atomic decomposition or the nontangential maximal functions. The proof is based on a modification of a technique due to A. Calderón [6].

Original languageEnglish
Pages (from-to)463-484
Number of pages22
JournalAdvances in Mathematics
Volume287
DOIs
Publication statusPublished - 10 Jan 2016
Externally publishedYes

Keywords

  • atomic decomposition
  • gaussian estimates
  • hardy spaces
  • heat semigroup
  • nonnegative self-adjoint operators
  • the nontangential maximal functions

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