Sonmez Sahutoglu
Overview
overview
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I obtained my BS and MS degrees in 1997 and 2000, respectively, in Mathematics at the Middle East Technical University in Turkey. Then I went to the graduate school at Texas A&M University (College Station) and graduated in 2006 with a PhD in Mathematics. After spending three years at University of Michigan (Ann Arbor) as a postdoc I joined the University of Toledo as a tenure-track Assistant Professor in Department of Mathematics and Statistics in 2009. I got promoted to Associate Professor in 2014 and to Professor in 2020. Throughout my career, I have taught both undergraduate and graduate courses, ranging from Calculus to PhD level courses. My current research interests are in Several Complex Variables and Operator Theory. Since 2006, I have published numerous peer-reviewed research papers in various well respected mathematics journals. I have presented in many national and international mathematics conferences. I also organized conferences and served as a referee for various journals.
Publications
selected publications
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Article (Faculty180)
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2023A sufficient condition for $L^p$ regularity of the Berezin transform. Complex Var. Elliptic Equ.. 68:1419-1428.
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2023A sufficient condition for compactness of Hankel operators. J. Operator Theory. 89:75-85.
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2022Zero products of Toeplitz operators on Reinhardt domains. Can. Math. Bull.. 65:170-179.
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2021Berezin regularity of domains in $\mathbb{C}^n$ and the essential norms of Toeplitz operators. Trans. Amer. Math. Soc.. 374:2521-2540.
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2021On compactness and $L^p$-regularity in the $\overline{\partial}$-Neumann problem. Bull. Lond. Math. Soc. . 53:1357-1364.
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2020Compactness of Hankel operators with continuous symbols on convex domains. Houston J. Math.. 46:1005-1016.
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2020Convex domains, Hankel operators, and maximal estimates. Proc. Amer. Math. Soc.. 148:751-764.
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2020On convergence of the Berezin transforms. J. Math. Anal. Appl. . 491:124295, 16pp.
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2020The restriction operator on Bergman spaces. J. Geom. Anal.. 30:2157-2188.
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2019On a theorem of Bishop and commutants of Toeplitz operators in $\mathbb{C}^n$. Rend. Circ. Mat. Palermo (2). 68:237-246.
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2019On a theorem of Bishop and commutants of Toeplitz operators in Cn. Rendiconti del Circolo Matematico di Palermo. Second Series. 68:237–246.
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2018A local weighted Axler-Zheng theorem in $\mathbb{C}^n$. Pacific J. Math.. 294:89.
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2018Compactness of Hankel operators with continuous symbols. Complex Anal. Oper. Theory. 12:365.
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2018Compactness of Hankel operators with symbols continuous on the closure of pseudoconvex domains. Integral Equations and Operator Theory. 90:90:71.
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2018Compactness of Hankel operators with symbols continuous on the closure of pseudoconvex domains. Integral Equations and Operator Theory. 90:14 pp.
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2018Essential norm estimates for the $\overline\partial$-Neumann operator on convex domains and worm domains. Indiana Univ. Math. J.. 67:267.
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2018Schatten class Hankel and $\overline{\partial}$-Neumann operators on pseudoconvex domains in $\mathbb{C}^n$. Monatsh. Math.. 187:237-245.
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2017Essential norm estimates for Hankel operators on convex domains in $\mathbb{C}^2$. Math. Scand.. 120:305.
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2017
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2014Compactness of products of Hankel operators on convex Reinhardt domains in $\mathbb{C}^2$. New York J. Math.. 20:627.
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2014Compactness of the $\overline\partial$-Neumann operator and commutators of the Bergman projection with continuous functions. J. Math. Anal. Appl.. 409:393.
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2014Erratum to: Axler-Zheng type theorem on a class of domains in $\mathbb{C}^n$, Integral Equations Operator Theory 77 (2013), no. 3, 397--405. Integral Equations Operator Theory. 79:449.
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2013Axler-Zheng type theorem on a class of domains in $\mathbb{C}^n$. Integral Equations Operator Theory. 77:397.
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2012Continuity of plurisubharmonic envelopes in $\mathbb{C}^2$. Internat. J. Math.. 23:1250124, 12.
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2012Irregularity of the Bergman projection on worm domains in $\mathbb{C}^n$. Michigan Math. J.. 61:187.
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2012Localization of compactness of Hankel operators on pseudoconvex domains. Illinois J. Math.. 56:795.
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2012On compactness of the $\overline\partial$-Neumann problem and Hankel operators. Proc. Amer. Math. Soc.. 140:153.
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2012Strong Stein neighbourhood bases. Complex Var. Elliptic Equ.. 57:1073.
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2010Compactness of products of Hankel operators on the polydisk and some product domains in $\mathbb{C}^2$. J. Math. Anal. Appl.. 371:341.
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2010Complex singularities and the Lorenz attractor. SIAM Rev.. 52:294.
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2009Compactness of Hankel operators and analytic discs in the boundary of pseudoconvex domains. J. Funct. Anal.. 256:3730.
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2008A remark on irregularity of the $\overline{\partial}$-Neumann problem on non-smooth domains. Proc. Amer. Math. Soc.. 136:2529.
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2006
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Article (Web of Science)
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2021On compactness and Lp-regularity in the partial differential over bar -Neumann problem. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY.Full Text via DOI: 10.1112/blms.12502
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2021BEREZIN REGULARITY OF DOMAINS IN C-n AND THE ESSENTIAL NORMS OF TOEPLITZ OPERATORS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 374:2521-2540.Full Text via DOI: 10.1090/tran/8201
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2021Zero products of Toeplitz operators on Reinhardt domains. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES. 1-10.Full Text via DOI: 10.4153/s0008439521000187
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2020On convergence of the Berezin transforms. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 491.Full Text via DOI: 10.1016/j.jmaa.2020.124295
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2020The Restriction Operator on Bergman Spaces. JOURNAL OF GEOMETRIC ANALYSIS. 30:2157-2188.Full Text via DOI: 10.1007/s12220-019-00178-3
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2020CONVEX DOMAINS, HANKEL OPERATORS, AND MAXIMAL ESTIMATES. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 148:751-764.Full Text via DOI: 10.1090/proc/14729
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2019On a theorem of Bishop and commutants of Toeplitz operators inFull Text via DOI: 10.1007/s12215-018-0353-y
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2018Compactness of Hankel Operators with Symbols Continuous on the Closure of Pseudoconvex Domains. INTEGRAL EQUATIONS AND OPERATOR THEORY. 90.Full Text via DOI: 10.1007/s00020-018-2497-8
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2018Schatten class Hankel and (partial derivative)over-bar-Neumann operators on pseudoconvex domains in C-n. MONATSHEFTE FUR MATHEMATIK. 187:237-245.Full Text via DOI: 10.1007/s00605-017-1099-x
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2018A LOCAL WEIGHTED AXLER-ZHENG THEOREM IN C-n. PACIFIC JOURNAL OF MATHEMATICS. 294:89-106.Full Text via DOI: 10.2140/pjm.2018.294.89
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2018Compactness of Hankel Operators with Continuous Symbols. COMPLEX ANALYSIS AND OPERATOR THEORY. 12:365-376.Full Text via DOI: 10.1007/s11785-017-0659-3
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2018Essential Norm Estimates for the (partial derivative)over-bar-Neumann Operator on Convex Domains and Worm Domains. INDIANA UNIVERSITY MATHEMATICS JOURNAL. 67:267-292.
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2017On Compactness of Hankel and the partial derivative-Neumann Operators on Hartogs Domains in C-2. JOURNAL OF GEOMETRIC ANALYSIS. 27:1274-1285.Full Text via DOI: 10.1007/s12220-016-9718-7
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2017ESSENTIAL NORM ESTIMATES FOR HANKEL OPERATORS ON CONVEX DOMAINS IN C-2. MATHEMATICA SCANDINAVICA. 120:305-316.Full Text via DOI: 10.7146/math.scand.a-25793
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2014Compactness of products of Hankel operators on convex Reinhardt domains in C-2. NEW YORK JOURNAL OF MATHEMATICS. 20:627-643.
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2014Compactness of the partial derivative-Neumann operator and commutators of the Bergman projection with continuous functions. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 409:393-398.Full Text via DOI: 10.1016/j.jmaa.2013.07.015
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2013Axler-Zheng Type Theorem on a Class of Domains in. INTEGRAL EQUATIONS AND OPERATOR THEORY. 77:397-405.Full Text via DOI: 10.1007/s00020-013-2088-7
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2012CONTINUITY OF PLURISUBHARMONIC ENVELOPES IN C-2. INTERNATIONAL JOURNAL OF MATHEMATICS. 23.Full Text via DOI: 10.1142/S0129167X12501248
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2012LOCALIZATION OF COMPACTNESS OF HANKEL OPERATORS ON PSEUDOCONVEX DOMAINS. ILLINOIS JOURNAL OF MATHEMATICS. 56:795-804.
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2012Irregularity of the Bergman Projection on Worm Domains in C-n. MICHIGAN MATHEMATICAL JOURNAL. 61:187-198.
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2012ON COMPACTNESS OF THE (partial derivative)over-bar-NEUMANN PROBLEM AND HANKEL OPERATORS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 140:153-159.
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2012Strong Stein neighbourhood bases. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. 57:1073-1085.Full Text via DOI: 10.1080/17476933.2010.534785
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2012CONTINUITY OF PLURISUBHARMONIC ENVELOPES IN ℂ2. INTERNATIONAL JOURNAL OF MATHEMATICS. 23:1250124.Full Text via DOI: 10.1142/s0129167x12501248
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2012Irregularity of the Bergman projection on worm domains in ℂn. MICHIGAN MATHEMATICAL JOURNAL. 61.Full Text via DOI: 10.1307/mmj/1331222854
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2012Localization of compactness of Hankel operators on pseudoconvex domains. ILLINOIS JOURNAL OF MATHEMATICS. 56.Full Text via DOI: 10.1215/ijm/1391178548
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2010Compactness of products of Hankel operators on the polydisk and some product domains in C-2. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 371:341-346.Full Text via DOI: 10.1016/j.jmaa.2010.05.027
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2010Complex Singularities and the Lorenz Attractor. SIAM REVIEW. 52:294-314.Full Text via DOI: 10.1137/090753474
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2009Compactness of Hankel operators and analytic discs in the boundary of pseudoconvex domains. JOURNAL OF FUNCTIONAL ANALYSIS. 256:3730-3742.Full Text via DOI: 10.1016/j.jfa.2009.02.018
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2008A remark on irregularity of the $\overline {\partial }$-Neumann problem on non-smooth domains. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 136:2529-2533.Full Text via DOI: 10.1090/s0002-9939-08-09206-x
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2006Analytic discs, plurisubharmonic hulls, and non-compactness of the -Neumann operator. Mathematische Annalen. 334:809-820.Full Text via DOI: 10.1007/s00208-005-0737-0
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Chapter (Faculty180)
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2011A potential theoretic characterization of compactness of the $\overline\partial$-Neumann problem. Geometric analysis of several complex variables and related topics. Amer. Math. Soc., Providence, RI. 155.
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Correction (Web of Science)
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2014Axler-Zheng Type Theorem on a Class of Domains in C-n (vol 77, pg 397, 2013). INTEGRAL EQUATIONS AND OPERATOR THEORY. 449-450.Full Text via DOI: 10.1007/s00020-014-2138-9
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Dissertation (Faculty180)
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Presentation (Faculty180)
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Proceedings Paper (Web of Science)
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2011A potential theoretic characterization of compactness of the partial derivative-Neumann problem. GEOMETRIC ANALYSIS OF SEVERAL COMPLEX VARIABLES AND RELATED TOPICS. 155-160.
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Contact
full name
- Sonmez Sahutoglu
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Cumulative publications in Scholars@UToledo
