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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 < ∞.

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Cyhoeddwyd yn:Proc Natl Acad Sci U S A
Prif Awduron: Lacey, Michael T., Thiele, Christoph M.
Fformat: Artigo
Iaith:Inglês
Cyhoeddwyd: National Academy of Sciences 1998
Pynciau:
Mynediad Ar-lein:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC20172/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/9560187/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.95.9.4828
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