Classes of weights related to Schrödinger operators

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Weighted norm inequalities for Schr\"odinger type operators (2011, methodology): “The study of Schrödinger operator L = −△ + V recently attracted much attention; see [1, 2, 7, 8, 9, 18, 21].”
Extrapolation and weighted norm inequalities in the variable Lebesgue spaces (2014, background): “[8] introduced a class of weights that generalize the Muckenhoupt Ap weights and are the appropriate class for studying weighted norm inequalities for the Riesz transforms related to Schrödinger operators which in many cases satisfy limited range inequalities.”