02647nam 2200589 450 991081739520332120170816143327.01-4704-0579-2(CKB)3360000000465149(EBL)3114164(SSID)ssj0000889101(PQKBManifestationID)11493924(PQKBTitleCode)TC0000889101(PQKBWorkID)10876181(PQKB)10499175(MiAaPQ)EBC3114164(RPAM)16096804(PPN)195418557(EXLCZ)99336000000046514920150417h20102010 uy 0engur|n|---|||||txtccrOn a conjecture of E. M. Stein on the Hilbert transform on vector fields /Michael Lacey, Xiaochun LiProvidence, Rhode Island :American Mathematical Society,2010.©20101 online resource (72 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 205, Number 965"Volume 205, Number 965 (fourth of 5 numbers)."0-8218-4540-3 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Volume 205, Number 965.Harmonic analysisHilbert transformVector fieldsHarmonic analysis.Hilbert transform.Vector fields.515.2433Lacey Michael T(Michael Thoreau),144623Li Xiaochun1963-MiAaPQMiAaPQMiAaPQBOOK9910817395203321On a conjecture of E. M. Stein on the Hilbert transform on vector fields4035722UNINA