Weighted weak-type inequalities and a conjecture of Sawyer

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Two weight norm inequalities for fractional integral operators and commutators (2014, methodology): “ack to David and Semmes [32,33], but the construction itself seems to have rst been used by Muckenhoupt and Wheeden [69] in one dimension, where they constructed \principal intervals." (See also [18,90].) Before proving Theorem5.1we rst describe the corona construction in more general terms. Gi”
New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory (2009, methodology): “Nevertheless, we show in this section that it does satisfy sharp weighted weak-type estimates by means of the mixed weak-type inequalities derived in [14].”