Research Interests(s)

Functional Analysis, Operator Theory, Complex Analysis, Harmonic Analysis.

Publications

• Rudin orthogonality problem on the Bergman space (with K. Guo), 
  J. Functional Analysis . 261 (2011), no. 1, 51–68.

• Compact Operators and Toeplitz algebras on Multiply-Connected Domains (with M. Jovovic),
  J. Functional Analysis, 261 (2011), no. 1, 25–50.

• Multiplication Operators on the Bergman Space via  analytic continuation (with R. Douglas and S. Sun),
  Adv. Math.,  226 (2011), no. 1, 541–583.

• Similarity of Analytic Toeplitz Operators on the Bergman Spaces (C. Jiang),
  J. Functional Analysis,  258 (2010), 2961--2982.

• Spectrum and essential spectrum of Toeplitz operators on the Bergman space (with C. Sundberg), 
  Indiana Univ. Math. J., 59 (2010), 385--394.

• Classification of reducing subspaces of a class of multiplication operators on  the Bergman space via the Hardy space of the bidisk (with S. Sun and C. Zhong),
  Canad. J. Math., 62  (2010),   415--438.

• Compact composition operators on BMOA and the Bloch space (with H. Wulan and K. Zhu)
  Proc. Amer. Math. Soc,  137 (2009), no 11,  3861–3868.

• Beurling type theorem on the Bergman space via the Hardy space of the bidisk (with Shunhua Sun),
  Sci. China Ser. A, 52 (2009), 2517-2529.

• Multiplication Operators on the Bergman Space via  the Hardy Space of the bidisk (with K. Guo, S. Sun, and C. Zhong),
  J. Reine Angew. Math., 628 (2009), 129-168.

• Finite Rank Commutator of Toeplitz Operators or Hankel Operators   (with Xuanhao Ding),
  Houston J. Math., 34 (2008), 1099-1119. 

• Multiplication Operators on the Bergman Space and Weighted shifts (with S. Sun and C. Zhong),
  J. Operator Theory, 59(2008), 435-454.

• Bounded Toeplitz Products on Weighted Bergman Spaces (with Karel Stroethoff),
  J. Operator Theory, 59 (2008), 277-308.

• Finite Rank Commutators and Semicommutators of Toeplitz Operators with Harmonic Symbols (with K. Guo and S. Sun),
  Illinois J. Math., 51 (2007), no. 2, 583—596.

• Bounded Toeplitz products on Bergman spaces of the unit ball   (with K. Stroethoff),
  J. Math. Anal. Appl., 325(2007), 114-129.

• Toeplitz Algebras on the Disk  (with Sheldon Axler)
  Journal of Functional Analysis 243 (2007), 67-86.      

• Products of Bergman Space Toeplitz operators on the polydisk (with B. R. Choe, Y. J. Lee and K. Nam),
  Math. Ann. 337(2007), 295-316.

• m-Berezin transform on the polydisk (with K. Nam),
  Integral Equations Operator Theory  56 (2006), no. 1, 93--113.

• m-Berezin transform and compact operators (with K. Nam and C. Zhong),
  Revista Mat. Iberoamericana  22(2006), 867-892.

• Compact perturbations of Hankel Operators (with X. Chen, K. Guo and K. Izuchi) (pdf)
  J. Reine Angew. Math. 578(2005), 1-48.

• Sampling sets and closed range composition operators on the Bloch space (with P. Ghatage; N. Zorboska),(pdf)
  Proc. Amer. Math. Soc. 133(2005), 1371--1377.

• The distribution function inequality for a finite sum of finite products of Toeplitz operators (with K. Guo),
  J. Functional Analysis. 218 (2005), 1--53. (pdf)

• Standard deviation and Schatten class Hankel operators on the Segal-Bargman space (J. Xia), (pdf)
  Indiana Univ. Math. J. 53(2004), 1381--1399.

• Hyperbolic derivatives and generalized Schwarz-Pick estimates (with P. Ghatage),(pdf)
  Proc. Amer. Math. Soc. 132 (2004), 3309--3318.

• Compact operators on Bergman spaces (with Jie Miao), (pdf)
  Integral Equations Operator Theory, 48(2004), 61-79.

• Composition operators on Bergman spaces (with John Clifford), (pdf)
  Chinese Ann. Math, 24B(2003), 433-448.

• Essentially commuting Hankel and Toeplitz operators (with K. Guo), (pdf)
  J. Functional Analysis, 201(2003), 121-147.

• Bounded Toeplitz products on the Bergman space of the polydisk (with K. Stroethoff), (pdf)
  Journal of Mathematical Analysis and Applications, 278 (2003), 125--135.

• Toeplitz algebra and Hankel algebra on the harmonic Bergman space (with K. Guo), (pdf)
  Journal of Mathematical Analysis and Applications, 276(2002), 213-230.

• Invertible Toeplitz Products (with K. Stroethoff), (pdf)
  J. Functional Analysis, 195(2002), 48-70.

• Algebraic and Spectral Properties of Dual Toeplitz Operators (with K. Stroethoff), (pdf)
  Trans. Amer. Math. Soc. 354 (2002), 2495--2520.

• Isolated points and essential components of composition operators on $H^infty$ (with T. Hosokawa; K. Izuchi),(pdf)
  Proc. Amer. Math. Soc. 130 (2002), 1765--1773.

• Invariant subspaces, quasi-invariant subspaces, and Hankel operators (with Kunyu Guo), (pdf)
  J. Functional Analysis 187 (2001), 308--342.