Entropy Bumps and another sufficient condition for the two-weight boundedness of sparse operators
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In this short note, we give a very efficient proof of a recent result of Treil–Volberg and Lacey–Spencer giving sufficient conditions for the two-weight boundedness of a sparse operator. We also give a new sufficient condition for the two-weight boundedness of a sparse operator. We make critical use of a formula of Hytönen in .
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- D. V. Cruz-Uribe, J. M. Martell and C. Pérez, Weights, Extrapolation and the Theory of Rubio de Francia, Operator Theory: Advances and Applications, Vol. 215, Birkhäuser/Springer Basel AG, Basel, 2011.Google Scholar
- M. T. Lacey, E. T. Sawyer and I. Uriarte-Tuero, Two-Weight Inequalities for Discrete Positive Operators, http://arxiv.org/abs/0911.3437.Google Scholar