  We determine the solid hull and solid core of weighted Banach spaces
$H_v^\infty$ of analytic functions $f$ such that $v|f|$ is bounded, both in the
case of the holomorphic functions on the disc and on the whole complex plane,
for a very general class of radial weights $v$. Precise results are presented
for concrete weights on the disc that could not be treated before. It is also
shown that if $H_v^\infty$ is solid, then the monomials are an (unconditional)
basis of the closure of the polynomials in $H_v^\infty$. As a consequence
$H_v^\infty$ does not coincide with its solid hull and core in the case of the
disc. An example shows that this does not hold for weighted spaces of entire
functions.
