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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| Udgivet i: | Proc Natl Acad Sci U S A |
|---|---|
| Principais autores: | , |
| Format: | Artigo |
| Sprog: | Inglês |
| Udgivet: |
National Academy of Sciences
1997
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| Fag: | |
| Online adgang: | https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC19231/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/11038537/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.94.1.33 |
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