A Martingale Study of the Beurling–Ahlfo
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Rodrigo Bañuelos; Arthur Lindeman II
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Article
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1997
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Elsevier Science
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English
⚖ 508 KB
We apply the theory of martingale transforms to study the Beurling Ahlfors transform, S, in dimensions n 2. This operator reveals a rich structure through its representation as a martingale, and we obtain new results concerning the operator norm of S acting on the class of differential forms having