On Calderón's conjecture for the bilinear Hilbert transform.

Lacey, M T; Thiele, C M · Proc Natl Acad Sci U S A · 1998

basic_science · Level V

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Record sourced from PubMed, PMID 9560187.
Also identified by PMC identifier 20172.
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We show that the bilinear Hilbert transform defined by maps Lp x Lq into Lr for 1 < p, q </= infinity, 1/p + 1/q = 1/r, and 2/3 < r < infinity.