{"id":6,"date":"2017-03-22T17:04:30","date_gmt":"2017-03-22T17:04:30","guid":{"rendered":"https:\/\/my.dev.vanderbilt.edu\/chengchu\/publications\/"},"modified":"2018-11-12T14:05:54","modified_gmt":"2018-11-12T19:05:54","slug":"publications","status":"publish","type":"page","link":"https:\/\/my.dev.vanderbilt.edu\/chengchu\/publications\/","title":{"rendered":"Research"},"content":{"rendered":"<p>My research interests are in the field of operator theory, spaces of analytic functions, and complex analysis in one and several variables.<\/p>\n<p><strong>Papers:<\/strong><\/p>\n<ul>\n<li>Reducing Subspaces of de Branges-Rovnyak Spaces, submitted.\u00a0<a href=\"https:\/\/arxiv.org\/abs\/1810.01058\">https:\/\/arxiv.org\/abs\/1810.01058<\/a><\/li>\n<li>Hilbert Spaces Contractively Contained in Weighted Bergman Spaces, to appear in Journal of Mathematical Analysis and Applications.\u00a0<a href=\"https:\/\/arxiv.org\/abs\/1807.08366\">https:\/\/arxiv.org\/abs\/1807.08366<\/a><\/li>\n<li>Density of Polynomials in Sub-Bergman Hilbert Spaces, Journal of Mathematical Analysis and Applications, Vol. 467, No. 1 [2018] 699-703.\u00a0<a href=\"https:\/\/arxiv.org\/abs\/1806.11383\">https:\/\/arxiv.org\/abs\/1806.11383<\/a><\/li>\n<li>Bounded Composition Operators and Multipliers of Some Reproducing<br \/>\nKernel Hilbert Spaces on the Bidisk, to appear in Complex Analysis and<br \/>\nOperator Theory. <a href=\"https:\/\/arxiv.org\/abs\/1709.04010\">https:\/\/arxiv.org\/abs\/1709.04010<\/a><\/li>\n<\/ul>\n<ul>\n<li>\n<pre>Normal Truncated Toeplitz Operators, Complex Analysis and Operator\r\nTheory, Vol. 12, No. 4 [2018] 849-857. <a href=\"https:\/\/arxiv.org\/abs\/1709.04008\">https:\/\/arxiv.org\/abs\/1709.04008<\/a><\/pre>\n<\/li>\n<li>A Note on the Spectral Area of Toeplitz Operators (with Dmitry Khavinson), Proceedings of the American Mathematical Society, Vol. 144, No. 6 [2016] 2533-2537.\u00a0<a href=\"https:\/\/arxiv.org\/abs\/1503.06731\">https:\/\/arxiv.org\/abs\/1503.06731<\/a><\/li>\n<li>Asymptotic Bohr Radius for the Polynomials in One Complex Variable, Contemporary Mathematics, Vol. 638 [2015] 39-43. <a href=\"https:\/\/arxiv.org\/abs\/1403.6513\">https:\/\/arxiv.org\/abs\/1403.6513<\/a><\/li>\n<li>Compact Product of Hankel and Toeplitz Operators, Indiana University Mathematics Journal, Vol. 64, No. 4 [2015] 973-982.\u00a0<a href=\"https:\/\/arxiv.org\/abs\/1403.2338\">https:\/\/arxiv.org\/abs\/1403.2338<\/a><\/li>\n<li>A Characterization of M_(A_1)(R^n), preprint.\u00a0<a href=\"http:\/\/arxiv.org\/abs\/1310.2136\">http:\/\/arxiv.org\/abs\/1310.2136<\/a><\/li>\n<\/ul>\n<p><strong>Invited Talks:<\/strong><\/p>\n<ul>\n<li>AMS Sectional Meeting in Fayetteville, Special Session on Operator The-<br \/>\nory and Function Spaces of Analytic Functions, University of Arkansas,<br \/>\nNovember 2018.<\/li>\n<li>Chongqing Mathematics Meeting and Summer Workshop, Invited lecture series, Chongqing University, China, May 2018.<\/li>\n<li>Analysis Day at University of Michigan-Dearborn, Detroit, April 2018.<\/li>\n<li>AMS Sectional Meeting in Nashville, Special Session on Function Spaces and Operator Theory, Vanderbilt University, April 2018.<\/li>\n<li>Analysis Seminar, University of South Florida, Tampa, February 2015.<\/li>\n<\/ul>\n<p><strong>Conference Talks:<\/strong><\/p>\n<ul>\n<li>Sub-Bergman Hilbert Spaces, 34th Southeastern Analysis Meeting, Georgia Institute of Technology, Atlanta, March 2018. <a href=\"https:\/\/cdn-dev.vanderbilt.edu\/t2-my-dev\/wp-content\/uploads\/sites\/2437\/2018\/06\/Seam18-cc.pdf\">Slides<\/a><\/li>\n<li>Bounded Composition Operators on the Bidisk, 33rd Southeastern Analysis Meeting, University of Tennessee, Knoxville, \u00a0March 2017.\u00a0<a href=\"https:\/\/cdn-dev.vanderbilt.edu\/t2-my-dev\/wp-content\/uploads\/sites\/2437\/2017\/03\/SEAM-2017.pdf\">Slides<\/a><\/li>\n<li>A Spectral Area Estimate of Some Toeplitz Operators, AMS\/MAA Joint Mathematical Meetings, Special Session on Operators, Function Spaces, and Models, Seattle, January 2016.\u00a0<a href=\"https:\/\/cdn-dev.vanderbilt.edu\/t2-my-dev\/wp-content\/uploads\/sites\/2437\/2017\/03\/JMM-2016.pdf\">Slides<\/a><\/li>\n<li>A Spectral Area Estimate of Some Toeplitz Operators, Wabash Modern Analysis Seminar, IUPUI, Indianapolis, September 2015.<\/li>\n<li>Asymptotic Bohr Radius for Polynomials, 31th Southeastern Analysis Meeting, University of Georgia, March 2015.\u00a0<a href=\"https:\/\/cdn-dev.vanderbilt.edu\/t2-my-dev\/wp-content\/uploads\/sites\/2437\/2017\/03\/SEAM-2015.pdf\">Slides<\/a><\/li>\n<li>Asymptotic Bohr Radius for Polynomials in One Complex Variable, Wabash Modern Analysis Seminar, IUPUI, Indianapolis, September 2014.<\/li>\n<li>Compact Product of Hankel and Toeplitz Operators on the Hardy space, 30th Southeastern Analysis Meeting, Clemson University, March 2014. <a href=\"https:\/\/cdn-dev.vanderbilt.edu\/t2-my-dev\/wp-content\/uploads\/sites\/2437\/2017\/03\/SEAM-CC.pdf\">Slides<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>My research interests are in the field of operator theory, spaces of analytic functions, and complex analysis in one and several variables. Papers: Reducing Subspaces of de Branges-Rovnyak Spaces, submitted.\u00a0https:\/\/arxiv.org\/abs\/1810.01058 Hilbert Spaces Contractively Contained in Weighted Bergman Spaces, to appear in Journal of Mathematical Analysis and Applications.\u00a0https:\/\/arxiv.org\/abs\/1807.08366 Density of Polynomials in Sub-Bergman Hilbert Spaces, Journal&#8230;<\/p>\n","protected":false},"author":6639,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"tags":[],"class_list":["post-6","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/my.dev.vanderbilt.edu\/chengchu\/wp-json\/wp\/v2\/pages\/6","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/my.dev.vanderbilt.edu\/chengchu\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/my.dev.vanderbilt.edu\/chengchu\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/my.dev.vanderbilt.edu\/chengchu\/wp-json\/wp\/v2\/users\/6639"}],"replies":[{"embeddable":true,"href":"https:\/\/my.dev.vanderbilt.edu\/chengchu\/wp-json\/wp\/v2\/comments?post=6"}],"version-history":[{"count":24,"href":"https:\/\/my.dev.vanderbilt.edu\/chengchu\/wp-json\/wp\/v2\/pages\/6\/revisions"}],"predecessor-version":[{"id":78,"href":"https:\/\/my.dev.vanderbilt.edu\/chengchu\/wp-json\/wp\/v2\/pages\/6\/revisions\/78"}],"wp:attachment":[{"href":"https:\/\/my.dev.vanderbilt.edu\/chengchu\/wp-json\/wp\/v2\/media?parent=6"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/my.dev.vanderbilt.edu\/chengchu\/wp-json\/wp\/v2\/tags?post=6"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}