Some recent papers

  • (with Congquan Yan) On the connectedness of the spectra of self-adjoint Toeplitz operators, to appear in J. Operator Theory pdf
  • On the continuous spectra of Toeplitz operators with pluriharmonic symbols, to appear in J. Operator Theory pdf
  • (with Congquan Yan, Danjun Zhao and Jingming Zhu) Roots and logarithms of multipliers, Proc. Amer. Math. 153 (2025), 1135-1144. pdf
  • Berezin transform of products of Toeplitz operators on the Hardy space, Proc. Amer. Math. Soc. 152 (2024), 4269-4276. pdf
  • Trace-class membership for antisymmetric sums on quotient modules of the Hardy module, J. Funct. Anal. 287 (2024), no. 2, 110464. pdf
  • Geometric Arveson-Douglas conjecture for the Drury-Arveson space: the case of one-dimensional variety, Adv. Math. 440 (2024), 109525. pdf
  • Fuglede commutations modulo Lorentz ideals, Trans. Amer. Math. Soc. 377 (2024), 249-269. pdf
  • Integral operators associated with the generalized Fuglede property, J. Operator Theory 90 (2023), 401-423. pdf
  • The Berger-Coburn Phenomenon for Hankel Operators on the Fock Space, Complex Anal. Oper. Theory 17 (2023), no. 3, Article: 35. pdf
  • (with Yi Wang) Trace invariants associated with quotient modules of the Hardy module, J. Funct. Anal. 284 (2023), no. 4, 109782. pdf
  • Principal measures and spectral shift measures associated with Dixmier traces, J. Funct. Anal. 283 (2022), no. 10, 109667. pdf
  • Dixmier traces, Cesaro means and logarithms, Proc. Amer. Math. Soc. 150 (2022), 3477-3485. pdf
  • (with Quanlei Fang) Best approximations in a class of Lorentz ideals, Complex Anal. Oper. Theory 16 (2022), no. 4, Article: 51. pdf
  • (with Yi Wang) Geometric Arveson-Douglas conjecture for the Hardy space and a related compactness criterion, Adv. Math. 388 (2021), 107890. pdf
  • An integral formula for Schatten norm on the Hardy space: the only high-dimensional case, J. Funct. Anal. 281 (2021), no. 7, 109113. pdf
  • (with Quanlei Fang and Yi Wang) The Helton-Howe trace formula for submodules, J. Funct. Anal. 281 (2021), no. 1, 108997. pdf
  • (with Yi Wang) Essential commutants on strongly pseudo-convex domains, J. Funct. Anal. 280 (2021), no. 1, 108775. pdf
  • (with Quanlei Fang) A closer look at a Poisson-like condition on the Drury-Arveson space, Proc. Amer. Math. Soc. 148 (2020), 2497-2507. pdf
  • (with Yi Wang) Essential normality of principal submodules of the Hardy module on a strongly pseudoconvex domain, J. Operator Theory 83 (2020), 333-352. pdf
  • (with Liangying Jiang and Yi Wang) Toeplitz operators associated with measures and the Dixmier trace on the Hardy space, Complex Anal. Oper. Theory 14 (2020), no. 2, Article:30. pdf
  • (with Yi Wang) Essential normality for quotient modules and complex dimensions, J. Funct. Anal. 276 (2019), 1061-1096. pdf
  • (with Quanlei Fang) On the essential normality of principal submodules of the Drury-Arveson module, Indiana Univ. Math. J. 67 (2018), 1439-1498. pdf
  • (with Quanlei Fang) Hankel operators on weighted Bergman spaces and norm ideals, Complex Anal. Oper. Theory 12 (2018), 629-668. pdf
  • A double commutant relation in the Calkin algebra on the Bergman space, J. Funct. Anal. 274 (2018), 1631-1656. pdf
  • On the essential commutant of the Toeplitz algebra on the Bergman space, J. Funct. Anal. 272 (2017), 5191-5217. pdf
  • (with Dechao Zheng) Toeplitz operators and Toeplitz algebra with symbols of vanishing oscillation, J. Operator Theory 76 (2016), 107-131. pdf
  • (with Quanlei Fang) On the problem of characterizing multipliers for the Drury-Arveson space, Indiana Univ. Math. J. 64 (2015), 663-696. pdf
  • Localization and the Toeplitz algebra on the Bergman space, J. Funct. Anal. 269 (2015), 781-814. pdf
  • (with Quanlei Fang) A hierarchy of von Neumann inequalities?, J. Operator Theory 72 (2014), 219-239. pdf
  • (with Quanlei Fang) On the membership of Hankel operators in a class of Lorentz ideals, J. Funct. Anal. 267 (2014), 1137-1187. pdf
  • (with Quanlei Fang) A local inequality for Hankel operators on the sphere and its application, J. Funct. Anal. 266 (2014), 876-930. pdf
  • (with Quanlei Fang) Essential normality of polynomial-generated submodules: Hardy space and beyond, J. Funct. Anal. 265 (2013), 2991-3008. pdf
  • Criteria for Toeplitz operators on the sphere, Proc. Amer. Math. Soc. 141 (2013), 637-644. pdf
  • (with Quanlei Fang) Corrigendum to "Multipliers and essential norm on the Drury-Arveson space", Proc. Amer. Math. Soc. 141 (2013), 363-368. pdf
  • (with Quanlei Fang) Invariant subspaces for certain finite-rank perturbations of diagonal operators, J. Funct. Anal. 263 (2012), 1356-1377. pdf
  • Bergman commutators and norm ideals, J. Funct. Anal. 263 (2012), 988-1039. pdf
  • (with Quanlei Fang) Defect operators associated with submodules of the Hardy module, Indiana Univ. Math. J. 60 (2011), 729-749. pdf
  • (with Quanlei Fang) Multipliers and essential norm on the Drury-Arveson space, Proc. Amer. Math. Soc. 139 (2011), 2497-2504. pdf
  • (with Quanlei Fang) Commutators and localization on the Drury-Arveson space, J. Funct. Anal. 260 (2011), 639-673. pdf
  • Singular integral operators and essential commutativity on the sphere, Canad. J. Math. 62 (2010), 889-913. pdf
  • (with Quanlei Fang) Schatten class membership of Hankel operators on the unit sphere, J. Funct. Anal. 257 (2009), 3082-3134. pdf
  • One hundred years of diagonalization pdf

     

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