The necessary and sufficient conditions in weighted inequalities for singular integrals and a local tb theorem with an energy side condition / Christos Grigoriadis.

We provide an essentially complete dictionary of all implications among the basic and fundamental conditions in weighted theory such as the doubling, one weight Ap(ω), A∞ and Cp conditions as well as the two weight Ap(ω, σ) and the "buffer" Energy and Pivotal conditions. The most notable implication...

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