THE L-P-CONTINUITY OF IMAGINARY POWERS OF THE DUNKL HARMONIC OSCILLATOR

摘要

We establish that imaginary powers of the Dunkl harmonic oscillator are bounded from L-p(R-d, d mu(k)) to itself, 1 < p < infinity , and from L-1(R-d, d mu(k)) to L-1,L-infinity(R-d, d mu(k)).