  We consider extremal correlation functions, involving arbitrary number of BPS
(chiral or twisted chiral) operators and exactly one anti-BPS operator in 2D
N=(2,2) theories. These correlators define the structure constants in the rings
generated by the BPS operators with their operator product expansions. We
present a way of computing these correlators from the sphere partition function
of a deformed theory using localization. Relating flat space and sphere
correlators is nontrivial due to operator mixing on the sphere induced by
conformal anomaly. We discuss the supergravitational source of this
complication and a resolution thereof. Finally, we demonstrate the process for
the Quintic GLSM and the Landau-Ginzburg minimal models.
