AbstractWe prove Lp→Lq convolution estimates for the affine arclength measure on certain flat curves in Rd when d∈{2,3,4}. For d=2,3, we also establish certain related Lorentz space estimates
Abstract. We prove uniform Lp → Lq bounds for Fourier restriction to poly-nomial curves in Rd with a...
We consider, for a class of functions $\varphi : \mathbb{R}^{2} \setminus \{ {\bf 0} \} \to \mathbb{...
We prove a uniform lower bound on Cauchy data on an arbitrary curve on a negatively curved surface u...
AbstractWe prove Lp→Lq convolution estimates for the affine arclength measure on certain flat curves...
AbstractWe prove sharp Lp→Lq estimates for averaging operators along general polynomial curves in tw...
AbstractA measure μ is said to be Lp-improving if μ ∗ Lp ⊂ Lq for some q > p. It is known that certa...
The L p-improving properties of convolution operators with measures supported on space curves have b...
AbstractWe prove sharp Lp→Lq estimates for averaging operators along general polynomial curves in tw...
AbstractWe establish strong-type endpoint Lp(Rd)→Lq(Rd) bounds for the operator given by convolution...
We prove sharp Lp → Lq estimates for averaging operators along general polynomial curves in two and ...
We prove sharp estimates, with respect to the ane arclength measure, for the restriction of the Four...
AbstractWe establish near-optimal mixed norm estimates for the X-ray transform restricted to polynom...
International audienceThe second named author studied in 1988 the possible relations between the len...
We prove a Fourier restriction result for general polynomial curves in Rd. Measuring the Fourier res...
We prove a Fourier restriction result for general polynomial curves in Rd. Measuring the Fourier res...
Abstract. We prove uniform Lp → Lq bounds for Fourier restriction to poly-nomial curves in Rd with a...
We consider, for a class of functions $\varphi : \mathbb{R}^{2} \setminus \{ {\bf 0} \} \to \mathbb{...
We prove a uniform lower bound on Cauchy data on an arbitrary curve on a negatively curved surface u...
AbstractWe prove Lp→Lq convolution estimates for the affine arclength measure on certain flat curves...
AbstractWe prove sharp Lp→Lq estimates for averaging operators along general polynomial curves in tw...
AbstractA measure μ is said to be Lp-improving if μ ∗ Lp ⊂ Lq for some q > p. It is known that certa...
The L p-improving properties of convolution operators with measures supported on space curves have b...
AbstractWe prove sharp Lp→Lq estimates for averaging operators along general polynomial curves in tw...
AbstractWe establish strong-type endpoint Lp(Rd)→Lq(Rd) bounds for the operator given by convolution...
We prove sharp Lp → Lq estimates for averaging operators along general polynomial curves in two and ...
We prove sharp estimates, with respect to the ane arclength measure, for the restriction of the Four...
AbstractWe establish near-optimal mixed norm estimates for the X-ray transform restricted to polynom...
International audienceThe second named author studied in 1988 the possible relations between the len...
We prove a Fourier restriction result for general polynomial curves in Rd. Measuring the Fourier res...
We prove a Fourier restriction result for general polynomial curves in Rd. Measuring the Fourier res...
Abstract. We prove uniform Lp → Lq bounds for Fourier restriction to poly-nomial curves in Rd with a...
We consider, for a class of functions $\varphi : \mathbb{R}^{2} \setminus \{ {\bf 0} \} \to \mathbb{...
We prove a uniform lower bound on Cauchy data on an arbitrary curve on a negatively curved surface u...
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