On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields

On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields

AngličtinaEbook
Lacey, Michael
American Mathematical Society
EAN: 9781470405793
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Podrobné informácie

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 $\mathrm{H}_{v, \epsilon }f(x) := \text{p.v.}\int_{-\epsilon}^{\epsilon} f(x-yv(x))\;\frac{dy}y$ where $\epsilon$ is a suitably chosen parameter, determined by the smoothness properties of the vector field.
EAN 9781470405793
ISBN 1470405792
Typ produktu Ebook
Vydavateľ American Mathematical Society
Stránky 72
Jazyk English
Krajina Uruguay
Autori Lacey, Michael