Oscillatory integrals with polynomial phase.
A convolution property of the Cantor-Lebesgue measure
A convolution property of the Cantor-Lebesgue measure, II
For 1 ≤ p,q ≤ ∞, we prove that the convolution operator generated by the Cantor-Lebesgue measure on the circle is a contraction whenever it is bounded from to . We also give a condition on p which is necessary if this operator maps into L²().
An endpoint estimate for some maximal operators.
Restricted Radon transforms and unions of hyperplanes.
We study L(R) → L (L ) estimates for the Radon transform in certain cases where the dimension of the measure μ on Σ is less than n-1.
Two endpoint bounds for generalized Radon transforms in the plane.
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