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Record Nr. |
UNINA9910480626703321 |
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Autore |
Lacey Michael T (Michael Thoreau) |
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Titolo |
On a conjecture of E. M. Stein on the Hilbert transform on vector fields / / Michael Lacey, Xiaochun Li |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2010 |
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©2010 |
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ISBN |
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Descrizione fisica |
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1 online resource (72 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 205, Number 965 |
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Disciplina |
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Soggetti |
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Harmonic analysis |
Hilbert transform |
Vector fields |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 205, Number 965 (fourth of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Preface""; ""Chapter 1. Overview of principal results""; ""Chapter 2. Besicovitch set and Carleson's Theorem""; ""Besicovitch set""; ""The Kakeya maximal function""; ""Carleson's Theorem""; ""The weak L 2 estimate in Theorem 1.15 is sharp""; ""Chapter 3. The Lipschitz Kakeya maximal function""; ""The weak L 2 estimate""; ""An obstacle to an Lp estimate, for 1<p<2""; ""Bourgain's geometric condition""; ""Vector fields that are a function of one variable""; ""Chapter 4. The L2 estimate""; ""Definitions and principal Lemmas""; ""Truncation and an alternate model sum "" |
""Proofs of Lemmata """"Chapter 5. Almost orthogonality between annuli""; ""Application of the Fourier localization Lemma""; ""The Fourier localization estimate""; ""References"" |
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