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Beurling-Ahlfors and Riesz transforms

✍ Scribed by Bañuelos, Rodrigo; Wang, Gang


Book ID
111653111
Publisher
Duke University Press
Year
1995
Tongue
English
Weight
280 KB
Volume
80
Category
Article
ISSN
0012-7094

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A Martingale Study of the Beurling–Ahlfo
✍ Rodrigo Bañuelos; Arthur Lindeman II 📂 Article 📅 1997 🏛 Elsevier Science 🌐 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