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Smoothness of the Beurling transform in Lipschitz domains

✍ Scribed by Victor Cruz; Xavier Tolsa


Book ID
113710280
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
258 KB
Volume
262
Category
Article
ISSN
0022-1236

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A Martingale Study of the Beurling–Ahlfo
✍ Rodrigo BaΓ±uelos; Arthur Lindeman II πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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