Continuity of Pseudo-Differential Operator $h_{\mu,a}$ Involving Hankel Translation and Hankel Convolution on Some Gevrey Spaces

摘要

The Pseudo-Differential Operator (p.d.o.) $h_{\mu,a}$ associated with theBessel Operator involving the symbol $a(x,y)$ whose derivatives satisfy certaingrowth conditions depending on some increasing sequences is studied on certainGevrey spaces. The p.d.o. $h_{\mu,a}$ on Hankel translation $\tau$ and Hankelconvolution of Gevrey functions is continuous linear map into another Gevreyspaces.