  This paper first defines operators that are "well-localized" with respect to
a pair of accretive functions and establishes a global two-weight Tb theorem
for such operators. Then it defines operators that are "well-localized" with
respect to a pair of accretive systems and establishes a local two-weight Tb
theorem for them. The proofs combine recent Tb proof techniques with arguments
used to prove earlier T1 theorems for well-localized operators.
