Norberto Laghi, Neil lyall
Published 2006-12-20Version 1
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 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 $\alpha=0.$
On a problem of Kahane in higher dimensions
Perturbed Fourier uniqueness and interpolation results in higher dimensions
On a theorem of M. Cartwright in higher dimensions
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