Research

Research Interests:
  1. Complex Analysis
  2. Operator Theory
Publications:
  1. (with Sonmez Sahutoglu and Zhenghui Huo) On spectra of Hankel operators on the polydisc, submitted
  2. (with Sonmez Sahutoglu and Zhenghui Huo) Zero products of Toeplitz operators on Reinhardt domains, Can. Math. Bull. 65 (2022), 170-179
  3. (with Michael Stessin and Alexandre Tchernev) Determinantal hypersurfaces and representations of Coxeter groups, Pacific J. Math.313 (2021), 103-125
  4. Projected composition operators on pseudoconvex domains, Integral Equations Operator Theory 93 (2021), Paper number 35, 11pp.
  5. (with Sonmez Sahutoglu) Berezin regularity of domains in $\mathbb{C}^n$ and the essential norms of Toeplitz operators Trans. Amer. Math. Soc.  374  (2021),  no. 4, 2521-2540
  6. (with Sonmez Sahutoglu and Yunus Zeytuncu) A local weighted Axler-Zheng theorem in  $\mathbb{C}^n$, Pacific J. Math.  294  (2018),  no. 1, 89-106
  7. (with Anthony Vasaturo) Carleson measures and Douglas' question on the Bergman space, to appear in Rend. Circ. Mat. Palermo (2)  67  (2018),  no. 2, 323-336
  8. (with Bhupendra Paudyal) The lattices of invariant subspaces of a class of operators on the Hardy space Arch. Math. (Basel) 110 (2018),  no. 5, 477-486
  9. (with Raul Curto) A new necessary condition for the hyponormality of Toeplitz operators on the Bergman space, J. Operator Theory  79  (2018),  no. 2, 287-300
  10. (with Sonmez Sahutoglu) Essential norm estimates for the $\overline{\partial}$-Neumann operator on convex domains and worm domains, Indiana Univ. Math. J.  67  (2018),  no. 1, 267-292
  11. Estimates of the $L^p$ norms of the Bergman projection on strongly pseudoconvex domains, Integral Equations Operator Theory 88 (2017), 331-338
  12. (with Sonmez Sahutoglu) Essential norm estimates for Hankel operators on convex domains in $\mathbb{C}^2$, Math. Scand. 120 (2017), 305-316
  13. (with Yunus Zeytuncu) Mapping properties of weighted Bergman projection operators on Reinhardt domains, Proc. Amer. Math. Soc. 144 (2016), no. 8, 3479-3491
  14. (with Trieu Le) Adjoints of linear fractional composition operators on weighted Hardy spaces, Acta Sci. Math. (Szeged) 82 (2016), no. 3-4, 651-662
  15. (with Bhupendra Paudyal) Invariant subpaces of the shift plus complex Volterra operator, J. Math. Anal. Appl. 426 (2015), no. 2 1174-1181
  16. (with Sonmez Sahutoglu) Compactness of products of Hankel operators on convex Reinhardt  domains in $\mathbb{C}^2$, , New York J. Math. 20 (2014), 627-643
  17. (with Trieu Le) Toeplitzness of composition operators in several variables, Complex Var. Elliptic Equ. 59 (2014), no.10, 1351-1362
  18. (with Sonmez Sahutoglu) Axler-Zheng type theorem on a class of domains in Cn, Integral Equations Operator Theory 77 (2013), no. 3, 397-405
  19. (with Mehdi Nikpour) On the Toeplitzness of the adjoint of composition operators, J. Math. Anal. Appl. 408 (2013), no. 2 541-546
  20. (with Trieu Le) Toeplitz operators on Bergman spaces of polyanalytic functions, Bull. London Math. Soc. 44 (2012), no. 5, 961-973
  21. (with Bo Li) Berezin transform, Mellin transform and Toeplitz operators, Complex Anal. Oper. Theory 6 (2012), no. 1, 189-218
  22. (with Sonmez Sahutoglu) Compactness of products of Hankel operators on the polydisk and some product domains in $\mathbb{C}^2$, J. Math. Anal. Appl. 371 (2010), 341-346
  23. (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
  24. (with Issam Louhichi) Finite rank commutators and semicommutators of quasihomogeneous Toeplitz operators, Complex Anal. Oper. Theory 2 (2008), no. 3, 429-439
  25. Finite rank perturbations of Toeplitz operators, Integral Equations Operator Theory 59 (2007), no. 3, 345--353
  26. (with Ruhan Zhao) Weighted composition operators between different weighted Bergman spaces and different Hardy space, Illinois J. Math. 51 (2007), no. 2, 479--498
  27. (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
  28. (with Jeffery D. McNeal) Special Toeplitz operators on strongly pseudoconvex domains, Rev. Mat. Iberoam. 22 (2006), no. 3, 851-866
  29. (with N.V. Rao) Maximality theorems for Frechet algebras, Proc. Amer. Math. Soc. 134 (2006), no. 2, 487-490
  30. (with Joseph A. Cima) Compact Toeplitz operators with unbounded symbols, J. Operator Theory 53 (2005), no. 2, 431-440
  31. (with Ruhan Zhao) Weighted composition operators on the Bergman space, J. London Math. Soc. (2) 70 (2004), no. 2, 499-511
  32. (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 
  33. Berezin versus Mellin, J. Math. Anal. Appl. 287 (2003), no. 1, 234-243
  34. (with Nasser Towghi) Sample paths of α-chaos, J. Math. Anal. Appl. 264 (2001), no. 2, 682-686 
  35. (with Patrick Ahern)  A theorem of Brown-Halmos type for Bergman space Toeplitz operators, J. Funct. Anal. 187 (2001), no. 1, 200-210
  36. (with Patrick Ahern) Products of Toeplitz operators on the Bergman space, Illinois J. Math. 45 (2001), no. 1, 113-121
  37. (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
  38. (with Kit C. Chan) $C^*$-algebras generated by a subnormal operator, Trans. Amer. Math. Soc. 351 (1999), no. 4, 1445-1460
  39. (with N.V. Rao)  Mellin transform, monomial symbols, and commuting Toeplitz operators, J. Funct. Anal. 154 (1998), no. 1, 195-214
  40. Commuting Toeplitz operators on the Bergman space of an annulus, Michigan Math. J. 43 (1996), no. 2, 355-365
  41. (with Patrick Ahern) A mean value inequality with applications to Bergman space operators, Pacifiic J. Math. 173 (1996), no. 2, 295-305
  42. (with Da Shan Fan) Commutants of Toeplitz operators on the ball and annulus, Glasgow Math. J. 37 (1995), no. 3, 303-309
  43. (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
  44. Commutants of Toeplitz operators on the Bergman space, Pacific J. Math. 162 (1994), no. 2, 277-285 
  45. (with Sheldon Axler) Commuting Toeplitz operators with harmonic symbols, Integral Equations Operator Theory 14 (1991), no. 1, 1-12