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A note on local Hardy spaces

Functional Analysis 2017-11-07 v2
Authors: Mikko Kemppainen
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Abstract

We consider a non-negative self-adjoint operator L satisfying generalized Gaussian estimates on a doubling metric measure space, and show that if L has a spectral gap then the local and global Hardy spaces defined by means of appropriate square functions coincide.

Keywords

hardy spaces spectral theory wavelet and multifractal analysis

Cite

@article{arxiv.1505.03347,
  title  = {A note on local Hardy spaces},
  author = {Mikko Kemppainen},
  journal= {arXiv preprint arXiv:1505.03347},
  year   = {2017}
}

Comments

9 pages, proof of the main result revised, Propositions 2 and 3 modified

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