  In the spirit of very recent articles by J. Bonet, W. Lusky and J. Taskinen
we are studying the so-called solid hulls and cores of spaces of weighted
entire functions when the weights are given in terms of associated weight
functions coming from weight sequences. These sequences are required to satisfy
certain (standard) growth and regularity properties which are frequently
arising and used in the theory of ultradifferentiable and ultraholomorphic
function classes (where also the associated weight function plays a prominent
role). Thanks to this additional information we are able to see which growth
behavior the so-called "Lusky-numbers", arising in the representations of the
solid hulls and cores, have to satisfy resp. if such numbers can exist.
