  Polymer models describing the statistics of biomolecules under confinement
have applications to a wide range of single molecule experimental techniques
and give insight into biologically relevant processes {\em{in vivo}}. In this
paper, we determine the transverse position and bending correlation functions
for a wormlike chain confined within slits and cylinders (with one and two
confined dimensions, respectively) using a mean field approach that enforces
rigid constraints on average. We show the theoretical predictions accurately
capture the statistics of a wormlike chain from Monte Carlo simulations in both
confining geometries for both weak and strong confinement. We also show that
the longitudinal correlation function is accurately computed for a chain
confined to a slit, and leverage the accuracy of the model to suggest an
experimental technique to infer the (often unobservable) transverse statistics
from the (directly observable) longitudinal end-to-end distance.
