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arXiv:1011.1767 [math.CA]AbstractReferencesReviewsResources

The Hilbert transform does not map L^1(Mw) to L^{1,\infty}(w)

Maria Carmen Reguera, Christoph Thiele

Published 2010-11-08Version 1

We prove that the analogue for the Hilbert transform of a classical weighted inequality by Fefferman and Stein for the Hardy Littlewood maximal operator does not hold. This is a sequel to paper arXiv:1008.3943 by the first author, which shows the same for the general Haar multiplier operator.

Comments: 5 pages
Categories: math.CA
Subjects: 42B20
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