"Fixed points and compact weighted composition operators in convex domains"
We discuss the problem of extending a recent
result due to G. Gunatillake concerning fixed points of
analytic self-maps of the disk and the spectrum (relative to
weighted Hardy spaces) of a compact weighted composition
operator induced by such a map and a weight function that is
bounded away from zero to a general class of Hilbert spaces
over bounded convex domains in n-dimensional complex