Publications

A maximal function for families of Hilbert transforms along homogeneous curves (with Shaoming Guo, Joris Roos and Andreas Seeger), submitted. [article]

Sharp variationnorm estimates for oscillatory integrals related to Carleson's theorem (with Shaoming Guo and Joris Roos), submitted. [article]

Solution of the tangential Kohn Laplacian on a class of noncompact CR manifolds (with ChinYu Hsiao), to appear in Calc. Var. Partial Differential Equations. [article]

Approximation in higherorder Sobolev spaces and Hodge systems (with Pierre Bousquet, Emmanuel Russ and Yi Wang), J. Funct. Anal. 276 (2019), no. 5, 14301478. [article]

A polynomial Carleson operator along the paraboloid (with Lillian Pierce), to appear in Rev. Mat. Iberoam. [article]

Polynomial Carleson operators along monomial curves in the plane (with Shaoming Guo, Lillian Pierce and Joris Roos), J. Geom. Anal. 27 (2017), no. 4, 29773012. [article]

BourgainBrezis Estimates on Symmetric Spaces of Noncompact Type (with Sagun Chanillo and Jean Van Schaftingen), J. Funct. Anal. 273 (2017), no. 4,
15041547. [article]

The incompressible NavierStokes flow in two dimensions with prescribed vorticity (with Sagun Chanillo and Jean van Schaftingen), in Sagun Chanillo, Bruno Franchi, Guozhen Lu, Carlos Perez and Eric T. Sawyer (eds.), Harmonic Analysis, Partial Differential Equations and Applications, Birkhuser, Applied and Numerical Harmonic Analysis, 2017, 1925. [article]

Variations on a proof of a borderline BourgainBrezis Sobolev embedding theorem (with Sagun Chanillo and Jean Van Schaftingen), Chin. Ann. Math. Ser. B 38 (2017), no. 1, 235252. [article]

On a trilinear singular integral form with determinantal kernel (with Philip Gressman, Danqing He, Vjekoslav Kovac, Brian Street and Christoph Thiele), Proc. Amer. Math. Soc. 144 (2016), no. 8, 34653477. [article]

Applications of BourgainBrezis inequalities to Fluid Mechanics and Magnetism (with Sagun Chanillo and Jean van Schaftingen), C. R. Math. Acad. Sci. Paris, Vol. 354 (2016), no. 1, 5155. [article]

Solving the Kohn Laplacian on asymptotically flat CR manifolds of dimension 3 (with ChinYu Hsiao), Adv. Math. 281 (2015), 734822. [article]

A sharp subelliptic Sobolev embedding theorem with weights, Bull. London Math. Soc. 47 (2015), no. 3, 396406. [article]

Absence of SelfSimilar Blowup and Local Wellposedness for the Constant MeanCurvature Wave Equation (with Sagun Chanillo), J. Funct. Anal. 269 (2015), no. 4, 11801202. [article]

A subelliptic BourgainBrezis inequality (with Yi Wang), J. Eur. Math. Soc 16 (2014), 649693. [article]

Pseudodifferential operators of mixed type adapted to distributions of kplanes (with Elias Stein), Math. Res. Lett. 20 (2013), no. 6, 11831208. [article]

The tangential CauchyRiemann complex on the Heisenberg group Via Conformal Invariance (with ChinYu Hsiao), Bulletin of the Institute of Mathematics, Academia Sinica (New Series), Vol. 8 (2013), no. 3, 359375. [article]

Wave Equations Associated to Liouville Systems and Constant Mean Curvature equations (with Sagun Chanillo), Adv. Math, Vol 235 (2013), 187207. [article]

An improved Strichartz estimate for systems with divergence free data (with Sagun Chanillo), Comm. PDE., Vol 37 (2012), no. 2, 225233. [article]

Sobolev inequality for (0,q) forms on CR manifolds of finite type, Math. Res. Lett. 17
(2010), no. 1, 177196. [article]

Doubling properties of selfsimilar measures, Indiana Univ. Math. J. 56 No. 2 (2007), 965990. [article]

Calculus on the Sierpinski gasket I: polynomials, exponentials and power series (with Jonathan Needleman, Robert Strichartz and Alexander Teplyaev), J. Functional Analysis, 215 (2004), 290340. [article]
