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arXiv · 1801.03706

Energy conditions and twisted localizations of operators

Eric T. Sawyer
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Abstract

We show that the energy conditions are not necessary for boundedness of fractional Riesz transforms in dimension at least 2. We also give a weak converse, namely that the energy conditions are necessary for boundedness of families of twisted localizations of fractional singular integrals having the positive gradient property.

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Eric T. Sawyer. 2018-01-11. Energy conditions and twisted localizations of operators. https://arxiv.org/abs/1801.03706

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