Preprints and papers

A variation norm Carleson theorem.
With Richard Oberlin, Terence Tao, Christoph Thiele and James Wright .
arXiv:0910.1555

A note on maximal operators associated with Hankel multipliers,
with Gustavo Garrigós.
pdf.

Radial Fourier multipliers in high dimensions,
with Yaryong Heo and Fëdor Nazarov.
pdf.
Acta Mathematica, to appear.
The earlier version with Fëdor Nazarov
(which will remain unpublished) can be found here.

A mixed norm variant of Wolff's inequality for paraboloids,
with Gustavo Garrigós.
Proceedings of the 2008 El Escorial Conference.
pdf.

Endpoint maximal and smoothing estimates for Schrödinger equations.
with Keith Rogers.
Journal für die reine und angewandte Mathematik, to appear.
pdf.

Already in print:

On plate decompositions of cone multipliers,
with Gustavo Garrigós.
Proceedings of the Edinburgh Mathematical Society, 52 (2009), 1-21.
pdf.
Earlier unpublished version in
Proceedings of the Harmonic Analysis and its Applications at Sapporo (2005)
Department of Mathematics, Hokkaido University Preprint server, Technical report 103 .

Restriction of Fourier transforms to curves and related oscillatory integrals,
with Jong-Guk Bak and Daniel Oberlin.
American Journal of Mathematics, 131, no.2 (2009), 277-311.
pdf.

Low regularity classes and entropy numbers,
with Walter Trebels.
Archiv der Mathematik, 92, No. 2 (2009), 147-157.
pdf.

The Fourier extension operator on large spheres and related oscillatory integrals,
with Jonathan Bennett.
Proceedings of the London Mathematical Society, 98, no.1, (2009), 45-82.
pdf.

Restriction of Fourier transforms to curves,
II: Some classes with vanishing torsion,
with Jong-Guk Bak and Daniel Oberlin.
Journal of the Australian Mathematical Society, 85 (2008), 1-28.
pdf.

Characterizations of Hankel multipliers,
with Gustavo Garrigós.
Mathematische Annalen, 342, no. 1, Sept. 2008, 31-68.
pdf.

Strong variational and jump inequalities in harmonic analysis,
with Roger L. Jones and James Wright.
Transactions of the American Mathematical Society, 360 (2008), 6711-6742.
dvi, ps, pdf.

L^p regularity of averages over curves and bounds for associated maximal operators,
with Malabika Pramanik.
American Journal of Mathematics, 129, no.1 (2007), 61-103.
pdf .

Average decay estimates for Fourier transforms of measures supported on curves,
with Luca Brandolini, Giacomo Gigante, Allan Greenleaf, Alex Iosevich, Giancarlo Travaglini.
Journal of Geometric Analysis, 17, no 1 (2007), 15--40.
pdf.

Mean lattice point discrepancy bounds, II: Convex domains in the plane,
with Alexander Iosevich and Eric T. Sawyer.
dvi, ps (2004 files).
pdf, 2007 revised version, appeared in
Journal d'Analyse Mathématique, 101, No. 1 (2007), 25-63.

Necessary conditions for vector-valued operator inequalities in harmonic analysis,
with Michael Christ.
Proceedings of the London Mathematical Society, 93, 2 (2006), 447-473.
pdf.

L^p Sobolev regularity of a model restricted X-ray transform in R^3.
with Malabika Pramanik.
Proceedings of the conference on Harmonic Analysis and its Applications,
Osaka, November 2004,
pp. 47--64, Yokohama Publishers (2006).
pdf.

On maximal functions for Mikhlin-Hörmander multipliers,
with Loukas Grafakos and Petr Honzík.
Advances in Mathematics, 204 (2006), 363-378.
dvi, ps , pdf .

Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type,
with Michael Christ, Loukas Grafakos and Petr Honzík.
Mathematische Zeitschrift, 249 (2005), 223-240.
dvi, ps .

Singular integral and maximal operators associated to hypersurfaces: L^p theory,
with Stephen Wainger, James Wright and Sarah Ziesler.
Journal of Geometric Analysis, 15, no. 3 (2005), 477-498.
pdf.

A family of singular oscillatory integral operators and failure of weak amenability,
with Michael Cowling, Brian Dorofaeff and James Wright.
Duke Mathematical Journal, 127, No.3 (2005), 429--486.
dvi, ps .

Singular spherical maximal operators on a class of step two nilpotent Lie groups,
with Detlef Müller.
Israel Journal of Mathematics, 141 (2004), 315--340.
dvi, ps , pdf .

Singular maximal functions and Radon transforms near L^1,
with Terence Tao and James Wright.
American Journal of Mathematics, 126 (2004), 607--647.
dvi, ps .
A correction. August 2005. pdf.

Pointwise convergence of lacunary spherical means,
with Terence Tao and James Wright.
Harmonic Analysis at Mount Holyoke,
Contemporary Mathematics 320, pp. 343-354, 2003
dvi, ps .

Endpoint mapping properties of spherical maximal operators,
with Terence Tao and James Wright.
Journal de l'Institut Mathématiques de Jussieu, 2 (2003), 109-144.
dvi, ps .

Singular Radon transforms and maximal functions under convexity assumptions,
with Stephen Wainger.
Revista Matemática Iberoamericana, 19 (2003), 1019-1044.
dvi , ps .

Bounds for singular fractional integrals and related Fourier integral operators,
with Stephen Wainger.
dvi , ps .
Preprint, September 2000, final version appears in Journal of Functional Analysis, 199 (2003), 48--91.

Oscillatory and Fourier integral operators with degenerate canonical relations,
with Allan Greenleaf.
Publicacions Matemàtiques (2002), 93-141.
Special issue: Proceedings of the El Escorial Conference 2000.
dvi , ps .

Mean square discrepancy bounds for the number of lattice points in large convex bodies,
with Alex Iosevich and Eric Sawyer.
Journal d'Analyse Mathématique, 87 (2002), 209--230.
dvi , ps .

Two endpoint bounds for generalized Radon transforms in the plane,
with Jong-Guk Bak and Daniel Oberlin.
Revista Matemática Iberoamericana, 18 (2002), 231-247.
dvi , ps .

Oscillatory integral operators with low-order degeneracies,
with Allan Greenleaf.
Duke Mathematical Journal, 112 (2002), 397--420.
dvi , ps .

Two problems associated with convex finite type domains,
with Alex Iosevich and Eric Sawyer.
Publicacions Matemàtiques, 46 (2002), 153-177.
dvi , ps ,

Regularity properties of wave propagation on conic manifolds
and applications to spectral multipliers,
with Detlef Müller.
Advances in Mathematics, 161 (2001), 41--130.
dvi , ps , pdf .

Sharp Lorentz space estimates for rough operators,
with Terence Tao.
Mathematische Annalen 320 (2001), 381-415.
dvi , ps .

Estimates for generalized Radon transforms in three and four dimensions,
with Allan Greenleaf and Stephen Wainger.
Survey article, in:
Analysis, Geometry, Number Theory: The Mathematics of Leon Ehrenpreis,
Contemporary Mathematics 251, AMS 2000, 243-254.
dvi , ps .

Riesz means associated with convex domains in the plane,
with Sarah Ziesler.
Mathematische Zeitschrift, 236 (2001), 643--676.
dvi , ps .

Weighted inequalities for Bochner-Riesz means in the plane,
with Anthony Carbery.
Quarterly Journal of Mathematics, 51 (2000), 155-169.
dvi , ps .

On averaging operators associated with convex hypersurfaces of finite type,
with Alexander Iosevich and Eric Sawyer.
Journal d'Analyse Mathématique, 79 (1999), 159--187.
dvi , ps .

Classes of singular integral operators along variable lines,
with Anthony Carbery, Stephen Wainger and James Wright.
Journal of Geometric Analysis, 9, no. 4 (1999), 583--605.
dvi , ps .

Classes of singular integrals along curves and surfaces,
with Stephen Wainger, James Wright and Sarah Ziesler.
Transactions Amer. Math. Soc. 351 (1999), 3757--3769.
dvi , ps .

On X-ray transforms for rigid line complexes and integrals over curves in R^4,
with Allan Greenleaf and Stephen Wainger.
Proc. Amer. Math. Soc. 127 (1999), 3533-3545
dvi , ps .

On oscillatory integrals with folding canonical relations,
with Allan Greenleaf.
Studia Mathematica, 132 (1999), 125--139
dvi , ps .

Radon transforms and finite type conditions.
Journal Amer. Math. Soc., 11 (1998), 869-897
dvi , ps .

Fourier integral operators with cusp singularities,
with Allan Greenleaf.
American Journal of Mathematics, vol. 120 (1998), 1077-1119.
Copyright 1998, The Johns Hopkins University Press.
dvi , ps .

Earlier papers.

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Research supported in part by grants from the National Science Foundation.