On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields
Author:   Michael Lacey ,  Xiaochun Li
Publisher:   American Mathematical Society
Edition:   New ed.
Volume:   v. 205, No. 965
ISBN:  

9780821845400


Pages:   72
Publication Date:   30 May 2010
Format:   Paperback
Availability:   Awaiting stock   Availability explained
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On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields


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Overview

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 $\textrm{H}_{v, \epsilon }f(x) := \text{p.v.}\int_{-\epsilon}^{\epsilon} f(x-yv(x))\;\frac{dy}y$ where $\epsilon$ 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 $L^2$ estimate; Almost orthogonality between annuli. (MEMO/205/965)

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Author:   Michael Lacey ,  Xiaochun Li
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   New ed.
Volume:   v. 205, No. 965
Weight:   0.146kg
ISBN:  

9780821845400


ISBN 10:   0821845403
Pages:   72
Publication Date:   30 May 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Awaiting stock   Availability explained
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

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