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## Abstract / Description of output

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

## Fingerprint

Dive into the research topics of 'Triple Hilbert transforms along polynomial surfaces in R-4'. Together they form a unique fingerprint.## Projects

- 1 Finished