A two weight theorem for fractional singular integrals with an energy side condition and quasicube testing
arXiv:1302.5093
Abstract
We prove a two weight theorem for fractional singular integrals in higher dimensions assuming energy side conditions on the weights. The testing conditions are taken over quasicubes, namely globally biLipschitz images of cubes.
100 pages. This version corrects more typos, and clarifies arguments, especially in proving functional energy from energy. We also extend the testing conditions to quasicubes, a largely cosmetic exercise, but providing more flexibility in applications. We thank Michael Lacey for alerting us to several problems and omissions in earlier versions of this paper
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Cited by in corpus (4)
- A geometric condition, necessity of energy, and two weight boundedness of fractional Riesz transforms
- Energy conditions and twisted localizations of operators
- A two weight theorem for fractional singular integrals in higher dimension
- A note on failure of energy reversal for classical fractional singular integrals