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이영주 교수
연구실
자연대 1호관 305호
교수전공 및 연구분야
해석학, 복소함수론, 작용소이론
연락처
(062)530-3344
이메일
leeyj@chonnam.ac.kr
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https://sites.google.com/view/leeyjhome/ GO
수학과 이영주교수 안내

홈페이지https://sites.google.com/view/leeyjhome/

 

학력:

 

   - 학사: Chonnam National University 1985.3-1989.2.

   - 석사: KAIST 1989.3-1991.2.

   - 박사: KAIST 1991.3-1994.2.



경력:

   - Mokpo National University 1995.3 - 2005.8.

   - Chonnam National University 2005.9 - 현재, 부교수, 교수 

 

 

 

해외방문연구:

    - State University of New York at Albany 1999-2000.

    - Niigata University, Japan 2008.01, 2009.02, 2010.01

    - University at Albany, USA 2010-2011.

    - Zhejiang Normal University, China, 2012. 01

    - Hangzhou Normal University, China, 2019. 09

 

 

연구분야:

    - 복소해석학: Function theory in real and complex variables

    - 작용소론: Toeplitz and Hankel operators on the Bergman, Hardy and Dirichlet spaces

 

 

연구논문:

 

1. Pluriharmonic symbols of commuting Toeplitz operators (with B. R. Choe), Illinois J. Math. 37 (1993) 424-436.

2. Compact Toeplitz operators with bounded symbols on the Bergman space (with B. R. Choe) J. Korean Math. Soc. 31 (1994) 289-307.

3.Normalized atomic decomposition of Bergman functions, Proceeding Workshops in Pure Math. 15 (2) (1995) 51-62.

4. A Luecking type subspace, dualities and Toeplitz operators (with B. R. Choe), Acta Math. Hungar. 67 (1-2) (1995) 151-170.

5. Pluriharmonic symbols of commuting Toeplitz type operators, Bull. Austral. Math. Soc. 54 (1996) 67-77.

6. Some characterizations of Bloch type functions, Bull. Honam Math. Soc. 13 (1996) 103-118.

7. Norm and essential norm estimates of Toeplitz operators on the Bergman space (with B. R. Choe), Comm. Korean Math. Soc. 11 (1996) 937-958.

8. The essential spectra of Toeplitz operators with symbols in H+C, (with B. R. Choe), Math. Japonica, 45 (1997) 57-60.

9. Pluriharmonic symbols of essentially commuting Toeplitz operators (with B. R. Choe), Illinois J. of Math. 42 (2) (1998) 280-293.

10. Pluriharmonic symbols of commuting Toeplitz type operators on the weighted Bergman spaces, Canadian Math. Bull. 41 (1998) 129-136.

11. On M-harmonic Bloch functions and their Carleson measures (with B. R. Choe) Glasgow Math. J. 40 (1998) 271-287.

12. Harmonic symbols of Commuting Toeplitz operators on the Bergman spaces (with B. R. Choe), Proceeding Workshops in Pure Math. 18 (1998) 1-6.

13. Essentially Commuting Toeplitz operators on the weighted Bergman spaces, Far East J. of Math. Sciences, 1(1) (1999) 145-166.

14. Commuting Toeplitz operators on the Harmonic Bergman spaces (with B. R. Choe), Michigan Math. J. 46 (1999) 163-174.

15. Images of Hankel operators on the polydisk, (with B. R. Choe), Bull. of Auatralian Math. Soc. 59 (1999) 403-408.

16. Commuting Toeplitz operators on the Bergman and Pluriharmonic Bergman spaces, Proceeding Workshops in Pure Math. 20 (2000) 40-54.

17. The Numerical range and normality of Toeplitz operators (with B. R. Choe), Far East J. Math. Sci. (2001) 71-81.

18. Commuting Toeplitz operators (with B. R. Choe and H. Koo), Proceeding of International Conference on Function Theory (2001) 95-98.

19. M-harmonic Bloch functions on the ball, Indian J. Pure. App. Math. 33 (2002) 161-170.

20. Some differential and integral equations with applications to Toeplitz operators (with K. Zhu), Integral Equation and Operator Theory, 44 (2002) 466-479.

21. Commuting Toeplitz operators on the polydisk (with B. R. Choe and H. Koo), Trans. Amer. Math. Soc. 356 (2004) 1727-1749.

22. Positive Toeplitz operators from a harmonic Bergman space into another (with B. R. Choe and K. Na), Tohoku Math. J. 56 (2004) 255-270.

23. Commuting Toeplitz operators on the Pluriharmonic Bergman space, Czechoslovak Math. J. 54 (2004) 535-544.

24. Toeplitz operators on harmonic Bergman spaces (with B. R. Choe and K. Na), Nagoya Math. J. 174 (2004) 165-186.

25. Toeplitz operators on the Dirichlet space (with J. J. Duistermaat), J. of Mathematical Analysis and Application, 300 (2004) 54-67.

26. Commutants of analytic Toeplitz operators on the harmonic Bergman space (with B. R. Choe), Integral Equation and Operator Theory, 50 (2004) 559-564.

27. Compact radial operators on the harmonic Bergman space, J. of Mathematics of Kyoto University, 44 (2004) 769-777.

28. Compact Toeplitz operators on the pluriharmonic Bergman spaces. RIMS Kyokuroku, 1519 (2006) 111-127.

29. Product of Bergman space Toeplitz operators on the polydisk (with B. Choe, K. Nam and D. Zheng), Mathematische Annalen, 337 (2007) 295-316.

30. Zero product of Toeplitz operators with n-harmonic symbols (with B. R. Choe and H. Koo), Integral Equation and Operator Theory, 57 (2007) 43-66.

31. Algebraic properties of Toeplitz operators on the Dirichlet space, J. of Mathematical Analysis and Application, 329 (2007) 1316-1329.

32. Positive Schatten(-Herz) class Toeplitz operators on the half-space (with B. Choe and H. Koo), Potential Analysis, 27(2007) 73-100.

33. Note on atomic decompositions of harmonic Bergman functions (with B. Choe), Complex Analysis and its Applications, OCAMI Studies Series 2(2007) 11-24.

34. Commuting Toeplitz operators on the Hardy space of the bidisk, J. of Mathematical Analysis and Application, 341(2008) 738-749.

35. Sums of Toeplitz products with harmonic symbols (with B. Choe and H. Koo), Revista Matemática Iberoamericana, 24(2008) 43-70.

36. Finite rank Toeplitz products with harmonic symbols (with B. Choe and H. Koo), J. of Mathematical Analysis and Application, 343 (2008) 81-98.

37. Positive Schatten class Toeplitz operators on the ball (with B. Choe and H. Koo), Studia Mathematica, 189 (2008) 65-90.

38. he atomic decomposition of harmonic Bergman functions, dualities and Toeplitz operators, Bulletin of KMS, 46 (2009) 263-279.

39. Finite sums of Toeplitz products on the Dirichlet space, J. of Mathematical Analysis and Application, 357 (2009) 504–515.

40. Finite sums of Toeplitz products on the polydisk (with B. Choe and H. Koo), Potential Analysis, 31 (2009) 227-255.

41. Commuting Toeplitz operators on the Hardy space of the polydisk, Proc. Amer. Math. Soc., 138 (2010) 189-197.

42. Algebraic properties of Toeplitz operators on the harmonic Dirichlet space (with Y. Chen and Q. D. Nguyen), Integral Equation and Operator Theory, 69 (2011) 183-201.

43. Toeplitz operators on the Dirichlet spaces of planar domains (with Q. D. Nguyen), Proc. Amer. Math. Soc., 139 (2011) 547-558.

44. Positive Schatten-Herz class Toeplitz operators on the ball (with B. Choe and H. Koo), New York J. Math. (2011) 113-125.

45. Toeplitz products with pluriharmonic symbols on the Hardy space over the ball (with B. Choe and H. Koo), J. of Mathematical Analysis and Application, 381 (2011) 365-382.

46. Commuting Toeplitz operators on the Segal-Bargmann space (with W. Bauer), J. Functional Analysis, 260 (2011) 460-489.

47. Sums of products of Toeplitz and Hankel operators on the Dirichlet space (with K. Zhu), Integral Equation and Operator Theory, 71 (2011) 275–302.

48. Finite rank commutators of Toeplitz operators on the bidisk, Studia Mathematica, 209 (2012) 189-201.

49. Finite rank sums of products of Toeplitz and Hankel operators, J. of Mathematical Analysis and Application, 397 (2013) 503–514.

50. Ranks of commutators of Toeplitz operators on the harmonic Bergman space (with Y. Chen and H. Koo), Integr. Equ. Oper. Theory 75 (2013) 31–38.

51. Compact products of Toeplitz operators on the Dirichlet space of the unit ball (with K. Na), J. of Mathematical Analysis and Application, 401 (2013) 654–658.

52. Reducibility and unitary equivalence for a class of multiplication operators on the Dirichlet space (with Y. Chen), Studia Mathematica, 220 (2014) 141-156.

53. A Coburn type theorem for Toeplitz operators on the Dirichlet space, J. of Mathematical Analysis and Application, 414 (2014) 237-242.

54. Ranks of complex skew symmetric operators and applications to Toeplitz operators (with Y. Chen and H. Koo), J. of Math. Anal. Application, 425 (2015) 734–747.

55. Zero sums of products of Toeplitz and Hankel operators on the Hardy space, Studia Mathematica, 227 (2015) 41-53.

56. The essential norm of a sum of Toeplitz products on the Dirichlet space (with K. Na), J. of Mathematical Analysis and Application, 431 (2015) 1022-1034.

57. Compact sums of Toeplitz products and Toeplitz algebra on the Dirichlet space of the ball, Tohoku Math. J., 68 (2016) 253-271 .

58. Compact sums of Toeplitz products on the weighted Bergman and Dirichlet spaces (with K. Na), Complex Analysis and Operator Theory, 10 (2016) 1799-1809.

59. Fredholm Toeplitz operators on the pluriharmonic Dirichlet space, Honam Math. J., 39 (2017) 175-185

60. Kernels of Toeplitz operators on the Hardy space over the bidisk (with Y. Chen and K. Izuchi), J. of Functional Analysis, 272 (2017) 3869-3903.

61. Kernels and ranks of Hankel operators on the Dirichlet spaces, J. of Mathematical Analysis and Application, 462 (2018) 263-278.

62. A Coburn type theorem on the Hardy space of the bidisk (with Y. Chen and K. Izuchi), J. of Mathematical Analysis and Application, 466 (2018) 1043-1059.

63. Sequences of powers of Toeplitz operators on the Hardy space (with Y. Chen and K. Izuchi), Integral Equation and Operator Theory, (2018) 90 :70.

64. Commutants of Toeplitz operators with polynomial symbols on the Dirichlet space (with Y. Chen), Commun. Korean Math. Soc. 34 (2019) 533-542.

65. Essential norms of sums of Toeplitz products on the pluriharmonic Dirichlet space, Honam Mathematical Journal, 41 (2019) 619-629.

66. Finite sums of dual Toeplitz products, Studia Mathematica, to appear.

67. Ranks of commutators of truncated Toeplitz operators on finite dimensional spaces (with Y. Chen and K. Izuchi), Operators and Matrices, to appear.

68. Sums of dual Toeplitz products on the orthogonal complements of the Fock spaces (with Y. Chen), preprint.

69. Sequences of powers of Toeplitz operators on the Bergman space (with Y. Chen, K. H. Izuchi and K. Izuchi), preprint.

70. Ranks of commutators for a class of truncated Toeplitz operators (with Y. Chen and Y. Zhao), preprint.

 

 

국제학회발표:

  • 9th International Conference of FIDCAA, Hanoi University, 2001.08.
  • International Workshop on Function Theory, Korea University, 2002.06.
  • 2002 International Congress of Mathematics, Beijing, China, 2002.08.
  • 6th International Joint Meeting of AMS and SMM, Houston, USA, 2004.05.
  • 2004 ICAA, Nanjing University, China, 2004.08.
  • International conference on composition operator, Kyoto University, Japan, 2004.12.
  • The 5th IASSC Congress, Catania University, Italia, 2005.07.
  • RIMS joint research "Analytic function spaces and their operators", RIMS, Japan, 2006. 06.
  • Conference on real and complex analysis, Hiroshima university, Japan, 2006.11.
  • Extremal problems in real and complex analysis, Russia, Moscow, 2007.05.
  • The 15th international conference on FIDCAA, Osaka, Japan, 2007.08.
  • The 11th international conference on real and complex analysis, Hiroshima, 2008.02.
  • International conference on problems related to Bergman kernels, Beijing, 2008.06.
  • The 7th IASSC Congress, London, 2009.07.
  • The 17th ICFIDCAA, Hochimin City, Vietnam, 2009.08
  • 2009 Joint Meeting of the KMS and the AMS , Seoul, 2009.12.
  • The 19th ICFIDCAA, Hiroshima University, Hiroshima, 2011.12.
  • The 20th International conference on FIDCAA, HUST, Hanoi,2012.7.
  • The 21th International conference on FIDCAA, Nanjing, 2013.7.
  • The 22th IFIDCAA, Kyungju, 2014.8.
  • The 23rd International conference on finite and infinite dim. complex analysis, Fukuoka, Japan, 2015.8.
  • International conference on function algebra, Ibaraki, Japan, 2016. 12.
  • Barcelona Analysis Conference, Spain, 2019. 6.
  • International workshop on function theory, Jeju, 2019.12
  • Numerous talks at KMS Annual Meeting, regional conferneces and colloquiums.

 

연구활동: 

   - Member of the Editorial Board of the Journal of Function Space

   - Member of International advisory board of the "International Conference on Finite and Infinite Dimensional Complex Analysis and Applications"