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Let Δ and L=Δ−∥x∥2 be the Dunkl Laplacian and the Dunkl harmonic oscillator respectively. We define the Hardy space H1 associated with the Dunkl harmonic oscillator by means of the… Click to show full abstract
Let Δ and L=Δ−∥x∥2 be the Dunkl Laplacian and the Dunkl harmonic oscillator respectively. We define the Hardy space H1 associated with the Dunkl harmonic oscillator by means of the nontangential maximal function with respect to the semigroup etL . We prove that the space H1 admits characterizations by relevant Riesz transforms and atomic decompositions. The atoms which occur in the atomic decompositions are of local type.
Keywords:
hardy spaces;
harmonic oscillator;
spaces dunkl;
dunkl harmonic
Journal Title: Mathematische Nachrichten
Year Published: 2020
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Journal Title: Mathematische Nachrichten
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!