  This paper gives embedding theorems for a very general class of weighted
Bergman spaces: the results include a number of classical Carleson embedding
theorems as special cases. We also consider little Hankel operators on these
Bergman spaces. Next, a study is made of Carleson embeddings in the right
half-plane induced by taking the Laplace transform of functions defined on the
positive half-line (these embeddings have applications in control theory):
particular attention is given to the case of a sectorial measure or a measure
supported on a strip, and complete necessary and sufficient conditions for a
bounded embedding are given in many cases.
