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Revista Colombiana de Matemáticas
versión impresa ISSN 0034-7426
Rev.colomb.mat. vol.54 no.2 Bogotá jul./dic. 2020 Epub 04-Mar-2021
https://doi.org/10.15446/recolma.v54n2.93828
Artículos originales
L ∞-BMO bounds for pseudo-multipliers associated with the harmonic oscillator
Continuidad L ∞ -BMO para pseudomultiplicadores asociados con el oscilador armónico
1 Ghent University, Ghent, Belgium
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
En esta nota se investigan condiciones de tipo Hörmander-Mihlin para garantizar la continuidad L ∞-BMO de pseudomultiplicadores asociados con el oscilador armónico. También se estudia la continuidad de tipo H 1-L 1 para multiplicadores de Hermite.
Palabras clave: Oscilador armónico; pseudomultiplicador; expansión de Hermite; teoría de Littlewood-Paley; BMO
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Received: September 16, 2019; Accepted: January 06, 2020
This is an open-access article distributed under the terms of the Creative Commons Attribution License
