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On Calderón’s conjecture for the bilinear Hilbert transform

We show that the bilinear Hilbert transform defined by [Formula: see text] maps L(p) × L(q) into L(r)for 1 < p, q ≤ ∞, 1/p + 1/q = 1/r, and 2/3 < r < ∞.

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Bibliografiske detaljer
Main Authors: Lacey, Michael T., Thiele, Christoph M.
Format: Artigo
Sprog:Inglês
Udgivet: The National Academy of Sciences 1998
Fag:
Online adgang:https://ncbi.nlm.nih.gov/pmc/articles/PMC20172/
https://ncbi.nlm.nih.gov/pubmed/9560187
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