We obtain a sharp L2 estimate for the maximal operator associated with uniformly distributed directions on a curve of finite type in Rn
Abstract. We extend Christ’s estimate for the 2-plane transform to a maximal operator setting. 1
International audienceWe study the problem of estimating a mean pattern from a set of similar curves...
AbstractWe obtain a sharp L2(Rn) bound for the maximal directional Hilbert transform over an arbitra...
We establish the sharp growth order, up to epsilon losses, of the L2-norm of the maximal directional...
We prove optimal regularity in L^2 for a special class of Fourier integral operators with k folds s...
We prove optimal regularity in L^2 for a special class of Fourier integral operators with k folds s...
We extend the estimates for maximal Fourier restriction operators proved by M\"{u}ller, Ricci, and W...
For certain piecewise linear plane curves r and convex functions Φ we address the question of whethe...
AbstractLetMf(x)=supt>0|f*δt(ψdσ)(x)|denote the maximal operator associated with surface measuredσon...
AbstractUsing some resolution of singularities and oscillatory integral methods in conjunction with ...
We study directional maximal operators on Rn with smooth densities. We prove that if the classical d...
AbstractWe prove sharp Lp→Lq estimates for averaging operators along general polynomial curves in tw...
AbstractWe consider averaging operators over curves and surfaces satisfying the rotational curvature...
We use an abstract version of a theorem of Kolmogorov-Seliverstov- Paley to obtain sharp L2 estimate...
We prove sharp Lp → Lq estimates for averaging operators along general polynomial curves in two and ...
Abstract. We extend Christ’s estimate for the 2-plane transform to a maximal operator setting. 1
International audienceWe study the problem of estimating a mean pattern from a set of similar curves...
AbstractWe obtain a sharp L2(Rn) bound for the maximal directional Hilbert transform over an arbitra...
We establish the sharp growth order, up to epsilon losses, of the L2-norm of the maximal directional...
We prove optimal regularity in L^2 for a special class of Fourier integral operators with k folds s...
We prove optimal regularity in L^2 for a special class of Fourier integral operators with k folds s...
We extend the estimates for maximal Fourier restriction operators proved by M\"{u}ller, Ricci, and W...
For certain piecewise linear plane curves r and convex functions Φ we address the question of whethe...
AbstractLetMf(x)=supt>0|f*δt(ψdσ)(x)|denote the maximal operator associated with surface measuredσon...
AbstractUsing some resolution of singularities and oscillatory integral methods in conjunction with ...
We study directional maximal operators on Rn with smooth densities. We prove that if the classical d...
AbstractWe prove sharp Lp→Lq estimates for averaging operators along general polynomial curves in tw...
AbstractWe consider averaging operators over curves and surfaces satisfying the rotational curvature...
We use an abstract version of a theorem of Kolmogorov-Seliverstov- Paley to obtain sharp L2 estimate...
We prove sharp Lp → Lq estimates for averaging operators along general polynomial curves in two and ...
Abstract. We extend Christ’s estimate for the 2-plane transform to a maximal operator setting. 1
International audienceWe study the problem of estimating a mean pattern from a set of similar curves...
AbstractWe obtain a sharp L2(Rn) bound for the maximal directional Hilbert transform over an arbitra...