L(p) estimates for the bilinear Hilbert transform. Research Abstract Details
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M Lacey,C Thiele,
For the bilinear Hilbert transform given by: H fg(x) = p.v.integralf(x - y)g(x + y) dyy, we announce the inequality parallelH fg parallel(p(3) ) = K(p(1) ) (,p(2) ) parallelf parallel(p(1) ) parallelg parallel(p(2) ), provided 2 < p(1), p(2) < infinity, 1/p(3) = 1/p(1) + 1/p(2) and 1 < p(3) < 2.
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PUBLICATION TYPE: Journal Article
Journal: Proceedings of the National Academy of Sciences of
VOLUME: 94
Page Numbers: 33-5
Journal Abbreviation: Proc. Natl. Acad. Sci. U.S.A.
ISSN: 0027-8424
DAY: 7
MONTH: Jan
YEAR: 1997
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LANGUAGE: eng
NlmUniqueID: 7505876
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AFFILIATION: School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332.
Country: United States
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MEDLINETA: Proc Natl Acad Sci U S A
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