[PDF.14nq] On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields (Memoirs of the American Mathematical Society)

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

[PDF.oe57] On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields (Memoirs of the American Mathematical Society)

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 | #14854099 in Books |  2010-12-02 | Original language:English |  10.00 x7.00 x.25l,.32 | File type: PDF | 72 pages

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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 theore...

You can specify the type of files you want, for your gadget.On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields (Memoirs of the American Mathematical Society)   |  Michael Lacey, Xiaochun Li. A good, fresh read, highly recommended.

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