On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields (Memoirs of the American Mathematical Society)

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9780821845400: On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields (Memoirs of the American Mathematical Society)
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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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Lacey, Michael, Li, Xiaochun
Published by Amer Mathematical Society (2010)
ISBN 10: 0821845403 ISBN 13: 9780821845400
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Book Description Amer Mathematical Society, 2010. Condition: Very Good. New ed.. Ships from the UK. Former Library book. Great condition for a used book! Minimal wear. Seller Inventory # GRP97470205

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