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Strongly singular integrals along curves

By Norberto Laghi and Neil Lyall


Abstract. In this article we obtain L 2 bounds for strongly singular integrals along curves in R d; our results both generalise and extend to higher dimensions those obtained by Chandarana [1] in the plane. Moreover, we show that the operators in question are bounded from L log L to weak L 1 at the critical exponent α = 0. 1

Year: 2009
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