A note on failure of energy reversal for classical fractional singular integrals
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🧮 math.CA
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alpha-fractionalenergyfailureintegralsreversalsingularvectoralpha
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For alpha in [0,n) we demonstrate the failure of energy reversal for the vector of alpha-fractional Riesz transforms, and more generally for any vector of alpha-fractional convolution singular integrals having a kernel with vanishing integral on every great circle of the sphere.
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