  The recent proof of the sharp weighted bound for Calder\'on-Zygmund operators
has led to much investigation in sharp mixed bounds for operators and
commutators, that is, a sharp weighted bound that is a product of at least two
different $A_p$ weight constants. The reason why these are sought after is that
the product will be strictly smaller than the original one-constant bound. We
prove a variety of these bounds in spaces of homogeneous type, using the new
techniques of Lerner, for both operators and commutators.
