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L-BMO bounds for pseudo-multipliers associated with the harmonic oscillator
Continuidad L-BMO para pseudomultiplicadores asociados con el oscilador armónico
DOI:
https://doi.org/10.15446/recolma.v54n2.93828Palabras clave:
Harmonic oscillator, Pseudo-multiplier, Hermite expansion, Littlewood-Paley theory, BMO (en)Oscilador armónico, pseudomultiplicador, expansión de Hermite, teoría de Littlewood-Paley, BMO (es)
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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 H1-L1 continuity for Hermite multipliers also is investigated.
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^-L^1 para multiplicadores de Hermite.
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