Research

Reseach Interests:
  1. Complex Analysis
  2. Operator Theory
Publications:
  1. (with Bo Li) Berezin transform, Mellin transform and Toeplitz operators, to appear in Complex Anal. Oper. Theory
  2. (with Sonmez Sahutoglu) Compactness of Hankel operators and analytic discs in the boundary of pseudoconvex domains, J. Funct. Anal. 256 (2009), no.11, 3730--3742
  3. (with Issam Louhichi) Finite rank commutators and semicommutators of quasihomogeneous Toeplitz operators, Complex Anal. Oper. Theory 2 (2008), no. 3, 429--439
  4. Finite rank perturbations of Toeplitz operators, Integral Equations Operator Theory 59 (2007), no. 3, 345--353
  5. (with Ruhan Zhao) Weighted composition operators between different weighted Bergman spaces and different Hardy space, Illinois J. Math. 51 (2007), no. 2, 479--498
  6. (with Ruhan Zhao) Essential norm estimates of weighted composition operators between Bergman spaces on strongly pseudoconvex domains, Math. Proc. Cambridge Philos. Soc. 142 (2007), no. 3, 525--533
  7. (with Jeffery D. McNeal) Special Toeplitz operators on strongly pseudoconvex domains, Rev. Mat. Iberoam. 22 (2006), no. 3, 851--866
  8. (with N.V. Rao) Maximality theorems for Fréchet algebras, Proc. Amer. Math. Soc. 134 (2006), no. 2, 487--490
  9. (with Joseph A. Cima) Compact Toeplitz operators with unbounded symbols, J. Operator Theory 53 (2005), no. 2, 431--440
  10. (with Ruhan Zhao) Weighted composition operators on the Bergman space, J. London Math. Soc. (2) 70 (2004), no. 2, 499--511
  11. (with Patrick Ahern) Some examples related to the Brown-Halmos theorem for the Bergman space, Acta Sci. Math. (Szeged) 70 (2004), no. 1-2, 373--378 
  12. Berezin versus Mellin, J. Math. Anal. Appl. 287 (2003), no. 1, 234--243
  13. (with Nasser Towghi) Sample paths of α-chaos, J. Math. Anal. Appl. 264 (2001), no. 2, 682--686 
  14. (with Patrick Ahern)  A theorem of Brown-Halmos type for Bergman space Toeplitz operators, J. Funct. Anal. 187 (2001), no. 1, 200--210
  15. (with Patrick Ahern) Products of Toeplitz operators on the Bergman space, Illinois J. Math. 45 (2001), no. 1, 113--121
  16. (with Sheldon Axler and N.V. Rao) Commutants of analytic Toeplitz operators on the Bergman space, Proc. Amer. Math. Soc. 128 (2000), no. 7, 1951--1953
  17. (with Kit C. Chan) C*-algebras generated by a subnormal operator, Trans. Amer. Math. Soc. 351 (1999), no. 4, 1445--1460
  18. (with N.V. Rao)  Mellin transform, monomial symbols, and commuting Toeplitz operators, J. Funct. Anal. 154 (1998), no. 1, 195--214
  19. Commuting Toeplitz operators on the Bergman space of an annulus, Michigan Math. J. 43 (1996), no. 2, 355--365
  20. (with Patrick Ahern) A mean value inequality with applications to Bergman space operators, Pacifiic J. Math. 173 (1996), no. 2, 295--305
  21. (with Da Shan Fan) Commutants of Toeplitz operators on the ball and annulus, Glasgow Math. J. 37 (1995), no. 3, 303--309
  22. (with Patrick Ahern) An invariant submean value property and hyponormal Toeplitz operators, Harmonic analysis and operator theory (Caracas, 1994), 17--24, Contemp. Math., 189, Amer. Math. Soc., Providence, RI, 1995
  23. Commutants of Toeplitz operators on the Bergman space, Pacific J. Math. 162 (1994), no. 2, 277--285 
  24. (with Sheldon Axler) Commuting Toeplitz operators with harmonic symbols, Integral Equations Operator Theory 14 (1991), no. 1, 1--12