English

$L^\infty$-$BMO$ bounds for pseudo-multipliers associated to the harmonic oscillator

Functional Analysis 2019-12-23 v3 Analysis of PDEs Classical Analysis and ODEs

Abstract

In this note we investigate some conditions of H\"ormander-Mihlin type in order to assure the LL^\infty-BMO{\textnormal{BMO}} boundedness for pseudo-multipliers of the harmonic oscillator. The H1\textnormal{H}^1-L1L^1 continuity for Hermite multipliers also is investigated. The final version of this paper will appear in Rev. Colombiana Mat.

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Cite

@article{arxiv.1905.03644,
  title  = {$L^\infty$-$BMO$ bounds for pseudo-multipliers associated to the harmonic oscillator},
  author = {Duván Cardona},
  journal= {arXiv preprint arXiv:1905.03644},
  year   = {2019}
}

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13 pages