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Revista Colombiana de Matemáticas

versão impressa ISSN 0034-7426

Rev.colomb.mat. vol.54 no.2 Bogotá jul./dez. 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

Duván Cardona1  * 

1 Ghent University, Ghent, Belgium


Abstract:

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

Resumen:

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

Texto PDF

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Received: September 16, 2019; Accepted: January 06, 2020

*Correspondencia: Duván Cardona, Department of Mathematics: Analysis, Logic, and Discrete Mathematics, Ghent University, Krijgslaan 281, Ghent, Belgium. Correo electrónico: duvan.cardonasanchez@ugent.be. DOI: https://doi.org/10.15446/recolma.v54n2.93828

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