# Strobl18

Harmonic Analysis and Applications

June 4-8, 2018

Strobl, AUSTRIA

### "Pseudo-differential operators involving Kontorovich-Lebedev transform"

A pair of pseudo-differential operators (p.d.o.) involving the Kontorovich -Lebedev transform as well as its adjoint is defined. Estimates for translation and convolution function associated with the Kontorovich-Lebedev transform are obtained. Continuity of p.d.o. on $\mathcal{H}_\omega(\mathbb{R}_+)$ and $\mathcal{G}_\omega(\mathbb{R}_+)$ are investigated.