An A_p --A_infty inequality for the Hilbert Transform

Mathematics – Classical Analysis and ODEs

Scientific paper

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15 pages. (v2) Proof at end of section 4 is reworded. (v3) final version, accepted to Houston J Math

Scientific paper

Continuing a theme of Lerner and Hytonen-Perez, we establish an L^p(w) inequality for a Haar shift operator of bounded complexity, that quantifies the contribution of the A_infty characteristic of the weight to the L^p norm. Here, 1

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