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Multilinear singular
operators with fractional rank
Ciprian Demeter, Malabika Pramanik and Christoph Thiele |
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Vol. 246 (2010), No. 2, 293–324
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Abstract |
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We prove bounds for multilinear operators on ℝd given by multipliers which are singular along a k-dimensional subspace. The new case of interest is when the rank k∕d is not an integer. We also investigate connections with the concept of true complexity from additive combinatorics. |
Keywords
multilinear singular integral operator, fractional rank,
true complexity
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Mathematical Subject Classification 2000
Primary: 42B20
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Milestones
Received: 8 April 2009
Accepted: 23 February 2010
Published: 1 June 2010
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Authors |
| Ciprian Demeter | |
| Department of Mathematics Indiana University 831 East 3rd St. Bloomington IN 47405 United States |
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| Malabika Pramanik | |
| Department of Mathematics University of British Columbia Vancouver, BC V6T 1Z2 Canada |
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| Christoph Thiele | |
| Department of Mathematics University of Califonia Los Angeles CA 90095-1555 United States |
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