The A₂ theorem: Remarks and complements
classification
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theoremdyadicresultsapproachesbellmanbiasedboundcoin
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I give a mini-survey of several approaches to the $A_2$ theorem, biased towards the "corona" rather than the "Bellman" side of the coin. There are two new results (a streamlined form of Lerner's local oscillation formula, and the sharpness of the linear-in-complexity weak $(1,1)$ bound for dyadic shifts) and two new proofs of known results (the $A_p$--$A_\infty$ testing conditions, and the two-weight $T1$ theorem for positive dyadic operators).
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Cited by 1 Pith paper
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The Kerman-Sawyer trace theorem for product Morrey spaces
The Kerman-Sawyer trace inequality extends to product Morrey spaces via parallel corona decomposition.
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