Two Weight Inequalities for Discrete Positive Operators
Abstract
We characterize two weight inequalities for general positive dyadic
operators. We consider both weak and strong type inequalities, and general
(p,q) mapping properties. Special cases include Sawyers Fractional Integral
operator results from 1988, and the bilinear embedding inequality of
Nazarov-Treil-Volberg from 1999. The method of proof is an extension of
Sawyer's argument.