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New weighted estimates for the disc multiplier on radial functions

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2018

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Springer
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Carro, M.J., Ortiz-Caraballo, C. New Weighted Estimates for the Disc Multiplier on Radial Functions. J Fourier Anal Appl 25, 145–166 (2019). https://doi.org/10.1007/s00041-018-9599-1

Abstract

We prove a weighted estimate for the disc multiplier, acting on radial functions, at the extreme points, extending the result of Chanillo (J Funct Anal 55:18–24, 1984). To this end, we prove a restricted weak type weighted estimate and then develop a new extrapolation result of independent interest.

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