Resumen

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 04-Mar-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.

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

        · resumen en Español     · texto en Inglés     · Inglés ( pdf )