AbstractWe consider averaging operators over curves and surfaces satisfying the rotational curvature condition of Phong and Stein. Using combinatorial arguments restricted weak-type versions of the standard estimates are obtained under weaker assumptions on the regularity of these surfaces. We also consider maximal functions over circles in the plane and obtain a simpler proof of Wolff's endpoint result
The purpose of this note is to showcase a certain line of research that connects harmonic analysis, ...
AbstractLet S be a hypersurface in Rn , n ≥ 2, and dμ = ψ dσ, where ψ ∈ C∞0 (Rn) and σ denotes the s...
This thesis explores a new approach, begun by Maurice Heins and Jang-Mei Wu, to studying the near-bo...
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 ...
AbstractWe prove sharp Lp→Lq estimates for averaging operators along general polynomial curves in tw...
We prove sharp Lp → Lq estimates for averaging operators along general polynomial curves in two and ...
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...
AbstractFor families of piecewise expanding maps which converge to a map with a fixed or periodic tu...
In this thesis, we investigate the mapping properties of two averaging operators. In the first pa...
We obtain a sharp L2 estimate for the maximal operator associated with uniformly distributed directi...
AbstractThis paper establishes endpoint Lp–Lq and Sobolev mapping properties of Radon-like operators...
In this paper we study the number of limit cycles bifurcating from isochronous surfaces of revolutio...
The purpose of this note is to showcase a certain line of research that connects harmonic analysis, ...
AbstractLet S be a hypersurface in Rn , n ≥ 2, and dμ = ψ dσ, where ψ ∈ C∞0 (Rn) and σ denotes the s...
This thesis explores a new approach, begun by Maurice Heins and Jang-Mei Wu, to studying the near-bo...
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 ...
AbstractWe prove sharp Lp→Lq estimates for averaging operators along general polynomial curves in tw...
We prove sharp Lp → Lq estimates for averaging operators along general polynomial curves in two and ...
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...
AbstractFor families of piecewise expanding maps which converge to a map with a fixed or periodic tu...
In this thesis, we investigate the mapping properties of two averaging operators. In the first pa...
We obtain a sharp L2 estimate for the maximal operator associated with uniformly distributed directi...
AbstractThis paper establishes endpoint Lp–Lq and Sobolev mapping properties of Radon-like operators...
In this paper we study the number of limit cycles bifurcating from isochronous surfaces of revolutio...
The purpose of this note is to showcase a certain line of research that connects harmonic analysis, ...
AbstractLet S be a hypersurface in Rn , n ≥ 2, and dμ = ψ dσ, where ψ ∈ C∞0 (Rn) and σ denotes the s...
This thesis explores a new approach, begun by Maurice Heins and Jang-Mei Wu, to studying the near-bo...
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