方向（Xiang Fang）教授

聯絡方式

• Email: xfang@nycu.edu.tw
• 電話: 校內分機56449
• 傳真: 03-572-4679
• 地址: 300 新竹市大學路1001號 陽明交通大學 應用數學系
• 相關網站:    

近兩學期教授課程

• 113 學年度第一學期：
  • 實變函數論（一）


• 113 學年度第二學期：

履歷

• 學歷
• 學術專長暨研究領域
• 學術經歷與榮譽
  Professor, National Central University, 2013 - present
  Associate Professor, Kansas State University, 2010 - 2013
  Assistant Professor, Kansas State University, 2005 - 2010
  Assistant Professor, University of Alabama, 2003 - 2005
  Visiting Assistant Professor, University of Florida, 2002 - 2003
  (Sabbatical leave) National Central University, 2011-2012
  2017 University Teaching Excellence Award, National Central University
  08/2018 - 07/2019 【教育部大專院校教學實踐研究計劃】關於高等微積分
  教學的新嘗試
  08/2014 - present Mentor for Math Team of the Science Class, Wu-Ling
  Senior High School, Taoyuan
  01/2016 - present Editor, Taiwanese Journal of Mathematics
  01/2023 - present 【國科會數學學門復審委員】

著作選集

(A)   Refereed Papers：

1. Hilbert polynomials and Arveson's curvature invariant, Journal of Functional Analysis, 198(2003), no. 2, 445-464.
2. Samuel multiplicity and the structure of Fredholm operators, Advances in Mathematics, 186(2004), no. 2, 411{437.
3. Invariant subspaces of the Dirichlet space and commutative algebra, J. Reine Angew Math., 569(2004), 189{211.
4. The Fredholm index of quotient Hilbert modules, Mathematical Research Letters, 12(2005) 911-920.
5. The Fredholm index of a pair of commuting operators, Geom. Funct. Anal. (GAFA), Vol.16.2 (2006), 367-402.
6. Canonical operator models over Reinhardt domains, Taiwanese Journal of Mathematics, Vol. 11.1, (2007) 75-94.
7. Additive Invariants on the Hardy space over the bidisk, Journal of Functional Analysis, Vol. 253 (2007) 359-372.
8. Estimates of Koszul homogoloy groups, Journal of Functional Analysis, , Vol. 255 (2008) 1-12.
9. The Fredholm index of a pair of commuting operators, II, Journal of Functional Analysis, Vol. 256 (2009) 1669-1692.
10. (With G. Cheng) An additive formula for Samuel multiplicities on Hilbert spaces of analytic functions, Journal of Functional Analysis, Vol. 260 (2011) 2027-2042.
11. (With G. Cheng) A generalization of the cellular indecomposable property via ber dimension, Journal of Functional Analysis, Vol. 260 (2011) 2964-2985.
12. (With G. Cheng) On the cellular indecomposable property of semi-Fredholm operators, Chin. Ann. Math. Ser. B Vol. 33 (2012) 903-908.
13. (With L. Chen and G. Cheng) Fiber dimension for invariant subspaces, Journal of Functional Analysis Vol. 268 (2015) 2621-2646.
14. (With Z. Wang) Two weight inequalities for the Bergman projection with doubling measures, Taiwanese Journal of Mathematics, Vol. 19 (2015) 919-926.
15. (With G. Cheng, Z. Wang and J. Yu) The hyper-singular cousin of the Bergman projection, Trans. Amer. Math. Soc. Vol. 369 (2017), no. 12, 8643-8662.
16. (With G. Cheng and S. Zhu) Random weighted shifts, Journal of Functional Analysis, Vol. 277 (2019), no. 2, 452{521.
17. (With T. Pham) A sucient condition for random zero sets of Fock spaces Archiv der Mathematik, Vol. 117 (2021), 291{304.
18. (With G. Cheng and C. Liu) A Littlewood-type theorem for random Bergman functions, Int. Math. Res. Not., Vol. 2022, Issue 14 (2022), 11056-11091.
19. (With G. Cheng, K. Guo and C. Liu) A Gaussian version of Littlewood's theorem on random power series Proc. Amer. Math. Soc., Vol. 150, number 8 (2022) 3525-3536.
20. (With T. Pham) Two problems on random entire functions in Fock spaces Canadian Journal of Mathematics Vol. 75 no. 4 (2023) 1176{1198.
https://doi.org/10.4153/S0008414X22000372
21. (With K. Guo and Z. Wang) Composition operators on the Bergman space with quasiconformal symbols Journal of Geometric Analysis. 38 pages. Vol. 33 (4). Article number: 125
(2023)
22. (With F. Guo, S. Hou, X. Zhu) Fractional integration on mixed norm spaces. II. Journal of Geometric Analysis. 37 pages. Vol. 33(5). Article number 158 (2023)
23. (With B. Chen, G. Cheng, C. Liu, T. Yu) Cesaro exponents of mixed norm spaces. Proc. Amer. Math. Soc. Vol. 151(9) (2023) 3935-3948.
24. (With B. Chen, G. Cheng, C. Liu, T. Yu) Sharp Cesaro Convergence in the Hardy Spaces Revisited. Journal of Geometric Analysis. 26 pages. Vol.33(6). Article number 290
(2023)

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