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Abstract
We investigate the L-2 boundedness of the triple Hilbert transform along the surface given by the graph of a real polynomial P of three variables. We axe interested in understanding the relationship between the geometric properties of the Newton polyhedron of P and the analytic property of L-2 boundedness.
Original language | English |
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Pages (from-to) | 471-519 |
Number of pages | 49 |
Journal | Revista matematica iberoamericana |
Volume | 25 |
Issue number | 2 |
Publication status | Published - 2009 |
Keywords / Materials (for Non-textual outputs)
- Triple Hilbert transform
- Newton polyhedron
- van der Corput’s lemma
- Littlewood-Paley operator
- oscillatory singular integral
- even in column
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Dive into the research topics of 'Triple Hilbert transforms along polynomial surfaces in R-4'. Together they form a unique fingerprint.Projects
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