Lipschitz spaces in the Dunkl setting - semigroup approach
Abstract
Let $\{P_t\}_{t>0}$ be the Dunkl-Poisson semigroup associated with a root system $R\subset \mathbb R^N$ and a multiplicity function $k\geq 0$. Analogously to the classical theory, we say that a bounded measurable function $f$ defined on $\mathbb R^N$ belongs to the inhomogeneous Lipschitz space $Λ_k^β$, $β>0$, if $$\sup_{t>0} t^{m-β} \Big\|\frac{d^m}{dt^m} P_tf\Big\|_{L^\infty}
Fields of Study & Subjects
Mathematical Analysis and Transform Methods
Advanced Harmonic Analysis Research
Advanced Banach Space Theory
Publication details
- Journal / source
- ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
- Pages
- 35–35
- Publication date
- 22 January 2026
- Language
- IT