Estimates for singular integrals and extrapolation

By Shuichi Sato. 2007

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We prove a sharp Lp estimate for a singular Radon transform according to a size condition of its kernel, which is useful for extrapolation.

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On certain estimates for Marcinkiewicz integrals and extrapolation (2009, methodology): “We should point out that our work is very much motivated by the recent work of S. Sato [ 15 ] which in turn was motivated by a remark in [4].”