Xiaochun Li

Teaching

• Fall 2009
  • Math 444 : Elementary Real Analysis

• Spring 2009
  • Math 285: Differential Equations

• Fall 2008
  • Math 347: Fundamental Mathematics
  • Math 415: Applied linear algebra

• Spring 2008
  • Math 553: Partial Differential Equations

• Fall 2007
  • Math 347: Fundamental Mathematics
  • Math 444: Elementary Real Analysis

• Spring 2007
  • Math 347: Fundamental Mathematics

• Fall 2006
  • Math 380: Advanced Calculus

• Spring 2006
  • Math 413: Combinatorics
  • Math 545: Harmonic Analysis

Preprints and Papers

1. Bilinear Hilbert transforms along curves, I, submitted, ( pdf)

2. (with D. Bilyk, M. Lacey and B. Wick), Composition of Haar Paraproducts: The Random Case, Analysis Mathematica, to appear. ( pdf)

3. (with D. Fan), A bilinear oscillatory integral along parabolas, Positivity, 13 (2009), 339-366. ( Go to the paper)

4. Uniform estimates for some paraproducts, N. Y. J. Math. 14 (2008), 145-192. ( Go to the paper)

5. (with C. Muscalu), Generalizations of the Carleson-Hunt theorem I. The classical singularity case, Amer. J. of Math., Vol 129, No. 4. (2007), 983-1018. (pdf)

6. (with M. Lacey), On a Stein conjecture on the Hilbert transform on vector fields, Memoirs of the AMS, to appear. (pdf)

7. Uniform bounds for the bilinear Hilbert transform II. Revista Mat. Iberoamericana, 22, No. 3, (2006), 10679-1126. (pdf)

8. (with M. Lacey), Maximal theorems for the directional Hilbert transform on the plane. Transactions of AMS, 358(2006), no. 9, 4099-4117. (pdf)

9. (with M. Lacey), On a Lipschitz variant of the Kakeya maximal function, (pdf)

10. (with L. Grafakos), The disc as a bilinear multiplier. American J. of Math., 128 (2006), 91-119. (pdf)

11. (with M. Christ, T. Tao and C. Thiele), On multilinear osillatory integrals, singular and nonsingular. Duke Math. J., Vol. 130, No. 2, (2005), 321-351. (pdf)

12. (with L. Grafakos), Uniform bounds for the bilinear Hilbert transforms I. Annals of Math., 159 (2004), 889-933. (pdf)

13. (with L. Grafakos), The bilinear multiplier problem for the disc, Contemporary Math., 320 (2003), 173-193.

14. (with S. Lu), Strongly singular convolution operators on the weighted Herz-type Hardy spaces, Acta Math. Sinica 14 (1998), 67-76.

15. (with S. Lu and D. Yang), Some generalizations on the boundedness of bilinear operators, Approx. Theory Appl. (N. S.) 13 (1997), 8-28.

16. (with S. Lu and D. Yang), Certain bilinear operators on Herz-type Hardy space, Beijing Mathematics 2 (1996), 75-95.

17. Oscillatory singular integralson Hardy spaces associated with Herz spaces, Beijing Shifan Daxue Xuebao 32 (1996), 427-432.

Last modified November 10, 2008