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Memoirs of the American Mathematical Society

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

Lacey, Michael & Li, Xiaochun

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

 

Studies 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.


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

Studies 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.


ISBN
9780821845400
Pagina's
72
Verschenen
Serie
Memoirs of the American Mathematical Society
Rubriek
Wiskunde algemeen
Druk
1
Uitvoering
Paperback
Taal
Nederlands
Uitgever
Amer Mathematical Society