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L(p) estimates for the bilinear Hilbert transform

For the bilinear Hilbert transform given by: [Formula: see text] we announce the inequality ∥H fg∥(p(3)) ≤ K(p(1))(,p(2))∥f∥(p(1))∥g∥(p(2)), provided 2 < p(1), p(2) < ∞, 1/p(3) = 1/p(1) + 1/p(2) and 1 < p(3) < 2.

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Bibliografske podrobnosti
Main Authors: Lacey, Michael, Thiele, Christoph
Format: Artigo
Jezik:Inglês
Izdano: The National Academy of Sciences of the USA 1997
Teme:
Online dostop:https://ncbi.nlm.nih.gov/pmc/articles/PMC19231/
https://ncbi.nlm.nih.gov/pubmed/11038537
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