Abstract

CARDONA, Duván. L ^∞-BMO bounds for pseudo-multipliers associated with the harmonic oscillator. Rev.colomb.mat. [online]. 2020, vol.54, n.2, pp.93-108.  Epub Mar 04, 2021. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v54n2.93828.

In this note we investigate some conditions of Hörmander-Mihlin type in order to assure the L ∞-BMO boundedness for pseudo-multipliers of the harmonic oscillator. The H 1-L 1 continuity for Hermite multipliers also is investigated.

Keywords : Harmonic oscillator; Pseudo-multiplier; Hermite expansion; Littlewood-Paley theory; BMO.

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