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Quanlei Fang




Publications and Preprints

  • Best approximations in a class of Lorentz ideals, (with Jingbo Xia), Complex Analysis and Operator Theory 16 (2022) (Jorg Eschmeier Memorial volume), no. 4, Paper No. 51 pdf
  • The Helton-Howe trace formula for submodules, (with Yi Wang and Jingbo Xia), J. Funct. Anal., 281(2021) no. 1, 108997 pdf
  • A closer look at a Possion-like condition on the Drury-Arveson Space, (with Jingbo Xia),Proc. Amer. Math. Soc. 148 (2020), 2497--2507. pdf
  • Multipliers of Drury-Arveson Space: a survey, Operator Theory: Advances and Applications Volume 272 (2019), 99-116. pdf
  • Analytical aspects of the Drury-Arveson space (with Jingbo Xia), Handbook of Analytic Operator Theory (edited by Kehe Zhu), Chapman & Hall /CRC 2019. pdf
  • On the essential normality of principal submodules of the Drury-Arveson module (with Jingbo Xia), Indiana Univ. Math J. 67(2018), 1439--1498 pdf
  • Hankel operators on weighted Bergman spaces and norm ideals (with Jingbo Xia),Complex Anal. Oper. Theory 12 (2018), 629--668. pdf
  • On the problem of characterizing multipliers for the Drury-Arveson space (with Jingbo Xia), Indiana Univ. Math J. 64 (2015), 663--696. pdf
  • On the membership of Hankel operators in a class of Lorentz ideals (with Jingbo Xia), J. Funct. Anal.,267 (2014), 1137-- 1187. pdf
  • A local inequality for Hankel operators on the sphere and its application (with Jingbo Xia), J. Funct. Anal. 266 (2014), 876--930. pdf
  • A Hierarchy of von Neumann inequality? (with Jingbo Xia),J. of Operator Theory 72 (2014), 219--239. pdf
  • Essential normality of polynomial-generated submodules: Hardy space and beyond (with Jingbo Xia), J. Funct. Anal.,265 (2013), 2991-- 3008.pdf
  • Corrigendum to "Multipliers and essential norm on the Drury-Arveson space" (with Jingbo Xia), Proc. Amer. Math. Soc. 141 (2013), 363--368. pdf
  • Invariant subspaces for certain finite-rank perturbations of diagonal operators (with Jingbo Xia), J. Funct. Anal.,263 (2012), 1356--1377. pdf
  • Nevanlinna-Pick interpolation via graph spaces and Krein-space geometry: a survey (with Joseph Ball), Operator theory: Advances and Applications Vol. 222 (2012), 43--71.pdf
  • Defect operators associated with submodules of the Hardy module (with Jingbo Xia), Indiana Univ. Math J. 60 (2011), 729--750. pdf
  • Commutators and localization on the Drury-Arveson space (with Jingbo Xia), J. Funct. Anal., 260 (2011) 639-673. pdf
  • Multipliers and essential norm on the Drury-Arveson space (with Jingbo Xia), Proc. Amer. Math. Soc., 139 (2011), no. 7, 2497--2504. pdf
  • Schatten class membership of Hankel operators on the unit sphere (with Jingbo Xia), J. Funct. Anal. 257 (2009), 3082-3134. pdf
  • Equivalence of robust stabilization and robust performance via feedback (with Joseph A. Ball, Gilbert J. Groenewald and Sanne ter Horst), Math.Control Signals Syst, Volume 21 (2009), 51-68. pdf
  • Multivariable generalizations of the Schur class: positive kernel characterization and transfer function realization (with Joseph A. Ball, Animikh Biswas and Sanne ter Horst), Operator Theory: Advances and Applications Volume 187 (2008), 17-79. pdf
  • Schur-class multipliers on the Arveson space: de Branges-Rovnyak reproducing kernel spaces and commutative transfer-function realizations (with Joseph A. Ball and Vladimir Bolotnikov), Journal of Mathematical Analysis and Applications 341 (2008), no. 1, 519--539. pdf
  • Schur-class multipliers on the Fock space: de Branges-Rovnyak reproducing kernel spaces and transfer-function realizations (with Joseph A. Ball and Vladimir Bolotnikov), Operator Theory, Structured Matrices, and Dilations, Tiberiu Constantinescu Memorial Volume, Theta Fundation in Advance Mathematics, 2007, 85-114.pdf
  • Transfer-function realization for multipliers of the Arveson space (with Joseph A. Ball and Vladimir Bolotnikov), Journal of Mathematical Analysis and Applications 333 (2007), no.1, 68-92. pdf
  • Multivariable backward-shift invariant subspaces and observability operators (with Joseph A. Ball and Vladimir Bolotnikov), Multidimens.Syst.Signal Process,18 (2007), 191-248. pdf
  • Degenerate regularized semigroups (with Liang Zhang), Acta Anal. Funct. Appl. 5 (2003), no. 2, 178--182. (Chinese, English Abs)
  • Distribution Cosine functions (with Miao Li), Acta Anal. Funct. Appl. 4 (2002), no. 1, 75--80. (Chinese, English Abs)


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