  We investigate a generalized spherical means operator, viz. generalized
spherical mean Radon transform, acting on radial functions. We establish an
integral representation of this operator and find precise estimates of the
corresponding kernel. As the main result, we prove two-weight mixed norm
estimates for the integral operator, with general power weights involved. This
leads to weighted Strichartz type estimates for solutions to certain Cauchy
problems for classical Euler-Poisson-Darboux and wave equations with radial
initial data.
