## Differential and Integral Equations

### Pseudo-differential operator associated with the Dunkl operator

#### Abstract

In this paper, we establish that the pseudo-differential operator $T_{\sigma}$ associated with the Dunkl operator on the real line is bounded from $L_{p,\alpha}$ into itself for $1 < p < +\infty$, when the symbol $\sigma$ belongs to the class $S^{0}$.

#### Article information

Source
Differential Integral Equations Volume 20, Number 9 (2007), 1035-1051.

Dates
First available in Project Euclid: 20 December 2012