Research |

Reseach
Interests:

- Complex Analysis

- Operator Theory

Publications:

- (with Sonmez Sahutoglu and Yunus Zeytuncu) A local weighted Axler-Zheng theorem in $\mathbb{C}^n$, to appear in Pacific Journal of Mathematics
- (with Anthony Vasaturo)
*Carleson measures and Douglas' question on the Bergman space,*to appear in Rend. Circ. Mat. Palermo (2) - (with Raul Curto)
*A new necessary condition for the hyponormality of Toeplitz operators on the Bergman space*, to appear in J. Operator Theory

- (with Sonmez Sahutoglu) Essential norm estimates for the $\overline{\partial}$-Neumann operator on convex domains and worm domains, to appear in Indiana Univ. Math. J.
- Estimates of the $L^p$ norms of the Bergman projection on strongly pseudoconvex domains, Integral Equations Operator Theory 88 (2017), 331-338
- (with Sonmez Sahutoglu) Essential norm estimates for Hankel operators on convex domains in $\mathbb{C}^2$, Math. Scand. 120 (2017), 305-316
- (with Yunus Zeytuncu)
*Mapping properties of weighted Bergman projection operators on Reinhardt domains,*Proc. Amer. Math. Soc.**144**(2016), no. 8, 3479-3491. - (with Trieu Le)
*Adjoints**of linear fractional composition operators on weighted Hardy spaces*, Acta Sci. Math. (Szeged)**82**(2016), no. 3-4, 651-662. - (with Bhupendra Paudyal)
*Invariant subpaces of the shift plus complex Volterra operator*, J. Math. Anal. Appl. 426 (2015), no. 2 1174-1181 - (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
- (with Trieu Le) Toeplitzness
of composition operators in several variables,
Complex Var. Elliptic Equ.
**59**(2014), no.10, 1351-1362 - (with Sonmez Sahutoglu)
Axler-Zheng type theorem on a
class of domains in
Cn , Integral Equations Operator Theory 77 (2013), no. 3, 397-405 - (with Mehdi Nikpour) On the Toeplitzness of the adjoint of composition operators, J. Math. Anal. Appl. 408 (2013), no. 2 541-546.
- (with Trieu Le) Toeplitz operators on Bergman spaces of polyanalytic functions, Bull. London Math. Soc. 44 (2012), no. 5, 961-973.
- (with Bo Li) Berezin
transform, Mellin transform and Toeplitz operators, Complex
Anal. Oper. Theory 6
(2012), no. 1, 189-218

- (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.
- (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
- (with Issam Louhichi) Finite rank commutators and semicommutators of quasihomogeneous Toeplitz operators, Complex Anal. Oper. Theory 2 (2008), no. 3, 429-439
- Finite rank perturbations of Toeplitz operators, Integral Equations Operator Theory 59 (2007), no. 3, 345--353
- (with Ruhan Zhao) Weighted
composition
operators between different weighted Bergman spaces and
different Hardy space, Illinois J. Math. 51 (2007), no. 2,
479--498

- (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
- (with Jeffery D. McNeal) Special Toeplitz operators on strongly pseudoconvex domains, Rev. Mat. Iberoam. 22 (2006), no. 3, 851-866
- (with N.V. Rao) Maximality theorems for Frechet algebras, Proc. Amer. Math. Soc. 134 (2006), no. 2, 487-490
- (with Joseph A. Cima) Compact
Toeplitz
operators with unbounded symbols, J. Operator
Theory 53 (2005),
no. 2, 431-440

- (with Ruhan Zhao) Weighted composition operators on the Bergman space, J. London Math. Soc. (2) 70 (2004), no. 2, 499-511
- (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
- Berezin versus Mellin, J. Math. Anal. Appl. 287 (2003), no. 1, 234-243
- (with Nasser Towghi) Sample paths of α-chaos, J. Math. Anal. Appl. 264 (2001), no. 2, 682-686
- (with Patrick Ahern) A theorem of Brown-Halmos type for Bergman space Toeplitz operators, J. Funct. Anal. 187 (2001), no. 1, 200-210
- (with Patrick Ahern) Products of Toeplitz operators on the Bergman space, Illinois J. Math. 45 (2001), no. 1, 113-121
- (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
- (with Kit C. Chan) $C^*$-algebras generated by a subnormal operator, Trans. Amer. Math. Soc. 351 (1999), no. 4, 1445-1460
- (with N.V. Rao) Mellin
transform,
monomial symbols, and commuting Toeplitz operators,
J. Funct. Anal. 154
(1998), no. 1, 195-214

- Commuting Toeplitz operators
on the Bergman space of an annulus, Michigan Math.
J. 43 (1996), no.
2, 355-365

- (with Patrick Ahern) A mean value inequality with applications to Bergman space operators, Pacifiic J. Math. 173 (1996), no. 2, 295-305
- (with Da Shan Fan) Commutants
of
Toeplitz operators on the ball and annulus, Glasgow
Math. J. 37 (1995),
no. 3, 303-309

- (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
- Commutants of Toeplitz operators on the Bergman space, Pacific J. Math. 162 (1994), no. 2, 277-285
- (with Sheldon Axler) Commuting Toeplitz operators with harmonic symbols, Integral Equations Operator Theory 14 (1991), no. 1, 1-12