  Embedded contact homology gives a sequence of obstructions to
four-dimensional symplectic embeddings, called ECH capacities. In "Symplectic
embeddings into four-dimensional concave toric domains", the author, Choi,
Frenkel, Hutchings and Ramos computed the ECH capacities of all "concave toric
domains", and showed that these give sharp obstructions in several interesting
cases. We show that these obstructions are sharp for all symplectic embeddings
of concave toric domains into "convex" ones. In an appendix with Choi, we prove
a new formula for the ECH capacities of convex toric domains, which shows that
they are determined by the ECH capacities of a corresponding collection of
balls.
