A Note on Failure of Energy Reversal for Classical Fractional Singular Integrals Academic Article uri icon

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abstract

  • 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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publication date

  • 2015