On a conjecture of E. M. Stein on the Hilbert transform on vector fields. Memoirs of the American Mathematical Society; 965.

Lacey, Michael; Li, Xiaochun

ISBN 10: 0821845403 / ISBN 13: 9780821845400

Published by Providence, American Math. Soc, 2010

About this Item

Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00388 9780821845400 Sprache: Englisch Gewicht in Gramm: 150.

Seller Inventory # 2482898

Bibliographic Details

• Title: On a conjecture of E. M. Stein on the Hilbert transform on vector fields. Memoirs of the American Mathematical Society; 965.
• Publisher: Providence, American Math. Soc
• Publication Date: 2010
• Language: English
• ISBN 10: 0821845403
• ISBN 13: 9780821845400
• Binding: Softcover
• Condition: Gut
• Weight: 150 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

Let $v$ be a smooth vector field on the plane, that is a map from the plane to the unit circle. The authors study sufficient conditions for the boundedness of the Hilbert transform $ extrm{H}_{v, psilon }f(x): = ext{p.v.}int_{- psilon} DEGREES{ psilon} f(x-yv(x)); rac{dy}y$ where $ psilon$ is a suitably chosen parameter, determined by the smoothness properties of the vector field. Table of Contents: Overview of principal results; Besicovitch set and Carleson's theorem; The Lipschitz Kakeya maximal function; The $L DEGREES2$ estimate; Almost orthogonality between annuli.