S. Wainger

activity

19962015

most citedSingular and maximal Radon transforms: Analysis and geometry

2 citations · 3 across the 6 of their papers we have counts for

collaborators

8 papers

math.FA2015

Algebras of singular integral operators with kernels controlled by multiple norms

Alexander Nagel, Fulvio Ricci, Elias M. Stein +1

The purpose of this paper is to study algebras of singular integral operators on $R^{n}$ and nilpotent Lie groups that arise when one considers the composition of Calderón…

math.CA2012

Averages along polynomial sequences in discrete nilpotent groups: singular Radon transforms

Alexandru D. Ionescu, Akos Magyar, Stephen Wainger

We consider a class of operators defined by taking averages along polynomial sequences in discrete nilpotent groups. In this paper we prove $L^{2}$ boundedness of discrete singular R…

math.FA2011

Singular Integrals with Flag Kernels on Homogeneous Groups: I

Alexander Nagel, Fulvio Ricci, Elias M. Stein +1

Let $K$ be a flag kernel on a homogeneous nilpotent Lie group $G$ . We prove that operators $T$ of the form $T (f) = f * K$ form an algebra under composition, and that…

math.CA2002

Singular Radon transforms and maximal functions under convexity assumptions

Andreas Seeger, Stephen Wainger

We prove variable coefficient versions of L^p boundedness results on Hilbert transforms and maximal functions along convex curves in the plane.

math.CA2002

Bounds for singular fractional integrals and related Fourier integral operators

Andreas Seeger, Stephen Wainger

We prove sharp L^p-L^q endpoint bounds for singular fractional integral operators and related Fourier integral operators, under the nonvanishing rotational curvature assumption.

math.CA1999★ 2 cited

Singular and maximal Radon transforms: Analysis and geometry

Michael Christ, Alexander Nagel, Elias M. Stein +1

The purpose of this paper is to prove the L^p boundedness of singular Radon transforms and their maximal analogues. These operators differ from the traditional singular integrals a…

math.FA1997

Singular Integrals Associated to Hypersurfaces: $L^{2}$ Theory

Stephen Wainger, James Wright, Sarah Ziesler

We consider singular integrals associated to a classical Calderón-Zygmund kernel $K$ and a hypersurface given by the graph of $φ (ψ (t))$ where $φ$ is an arbitrary $C^{1}$ function and…

math.FA1996★ 1 cited

Spherical maximal operators on radial functions

Andreas Seeger, Stephen Wainger, James Wright

Let $A_{t} f (x) = \int f (x + t y) d σ (y)$ denote the spherical means in $R^{d}$ ( $d σ$ is surface measure on $S^{d - 1}$ , normalized to $1$ ). We prove sharp estimates for the maximal functio…