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Strongly singular
integrals along curves
Norberto Laghi and Neil Lyall |
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Vol. 233 (2007), No. 2, 403–415
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Abstract |
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We obtain L2 bounds for strongly singular integral operators along curves in ℝd. Our results both generalize and extend to higher dimensions the planar results of Chandarana. In addition, we show that these operators are bounded from Llog L to weak L1 at the critical exponent α = 0. |
Keywords
strongly singular integrals, Radon transforms
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Mathematical Subject Classification 2000
Primary: 44A12, 42B20
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Milestones
Received: 20 December 2006
Revised: 19 September 2007
Accepted: 2 November 2007
Published: 1 December 2007
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Authors |
| Norberto Laghi | |
| School of Mathematics and Maxwell
Institute for Mathematical Sciences JCM Building, The King’s Buildings The University of Edinburgh Edinburgh EH9 3JZ United Kingdom |
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| Neil Lyall | |
| Department of Mathematics Boyd Graduate Studies Research Center The University of Georgia Athens, GA 30602 United States |
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