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Int.\@ Math.\@ Res.\@ Not 2010(19) (2010): 3658--3722

Joan Mateu, Joan Orobitg, Carlos Pérez, Joan Verdera, New estimates for the maximal singular integral · 2010 · DOI 10.1093/imrn/rnq017

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Maximal inequalities for derivatives of spherical means

math.CA · 2026-06-01 · unverdicted · novelty 6.0

Under the stated ranges for k, d and p, the maximal operator given by the sup over r of the absolute value of r^k times the k-th derivative of the spherical mean is bounded on L^p with a bound independent of dimension d.

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  • Maximal inequalities for derivatives of spherical means math.CA · 2026-06-01 · unverdicted · none · ref 16

    Under the stated ranges for k, d and p, the maximal operator given by the sup over r of the absolute value of r^k times the k-th derivative of the spherical mean is bounded on L^p with a bound independent of dimension d.