Kiyoki Tanaka's page

Profile

Kiyoki TANAKA

Assistant Professor
School of Liberal Arts and Sciences
Daido University
10-3 Takiharu-cho, Minami-ku, Nagoya 457-8530 JAPAN
e-mail: t.kiyoki@gmail.com

Research Interest

Function space, Operator theory, Bergman space, Toeplitz operator

Paper

Thesis

K. Tanaka, Representation theorems and Toeplitz operators on harmonic Bergman spaces, Ph.D. Thesis, Osaka City University (2013).

Peer Reviewed Papers

  • K. Tanaka, Estimates for the polyharmonic Bergman kernel and their applications, Complex Analysis and Operator Theory, online first, 21 pp, DOI 10.1007/s11785-018-0875-5
  • K. Tanaka and S. Yamaji, Essential norm estimates for little Hankel operators with anti holomorphic symbols on the unit ball, accepted in Analysis Mathematica.
  • K. Tanaka, Biharmonic Bergman space and its reproducing kernel, Complex Var. Elliptic Equ., Vol. 63 (2018), 1642--1663.
  • M. Nishio and K. Tanaka, Harmonic Bergman kernels and Toeplitz operators on the ball with radial measures, Rev. Roumaine Math. Pures Appl. Vol. 62 (2017), 155--169.
  • K. Tanaka, Interpolation theorem of the harmonic Bergman functions, RIMS kokyuroku Bessatsu B43 (2013), 183--191.
  • K. Tanaka, Representation theorem for harmonic Bergman and Bloch functions, Osaka Journal of Mathematics Vol.50, No.4.(2013), 947--961.
  • K. Tanaka, Representation theorem for certain harmonic functions on smooth bounded domains, Proceedings of the 19th ICFIDCAA Hiroshima 2011, Tohoku University Press, Sendai (2013), 249--259.
  • K. Tanaka, Atomic decomposition of harmonic Bergman functions, Hiroshima Mathematical Journal. Volume 42, Number 2 (2012), 143-- 160.

    Non-Peer Reviewed Papers

    1. K. Tanaka, Harmonic Bergman space on smooth bounded domain, Hokkaido university technical report series in mathematics, Seminar on function spaces, 2011, 27--30.
    2. K. Tanaka, Atomic decomposition on harmonic Bergman spaces, Proceedings of potential theory symposium 2011(gifu),(2012), 101--110.

    Talks

    1. Remarks on the true m-polyharmonic Bergman spaces, Potential theory seminar,Meijo University,2019.
    2. Research on polyharmonic Bergman spaces, Potential Analysis and its Related Fields 2019,Hokkaido University,2019.
    3. Estimates for the polyharmonic Bergman kernel and their application, Conference on Function algebra, Kanazawa Medical Unicersity, 2018.
    4. Essential norm estimates for little Hankel operators with anti holomorphic symbols(joint work with Satoshi Yamaji), Real, Complex and Functional Analysis Seminar 2018, Kanagawa University, 2018.
    5. Analysis on polyharmonic Bergman space, Joint workshop on Real Analysis and Functional Analysis, Takushoku University, 2018.
    6. Estimate for the weighted polyharmonic Bergman kernel and its application, The 12th AIMS Conference Series on Dynamical Systems and Differential Equations and Applications (Special Session SS97), National Taiwan University, 2018.
    7. (with Satoshi Yamaji), Essential norm estimates for little Hankel operators with anti holomorphic symbols on the unit ball, Potential theory seminar, Meijo University, 2018.
    8. Notes on polyharmonic Bergman space on the unit ball, Real, Complex and Fanctional Analysis Seminar, Gifu University, 2017.
    9. Polyharmonic Bloch spaces and Toeplitz operators on polyharmonic Bergman space on the unit ball, Potential Theory workshop 2017, Daido University, 2017.
    10. Biharmonic Bergman kernel on outside domain, MSJ Spring Meeting 2016, University of Tsukuba, March 16, 2016
    11. Biharmonic Bergman space and its reproducing kernel, RIMS workshop "General topics on applications of reproducing kernels", Kyoto university, Octobor 7, 2015
    12. Biharmonic Bergman spaces, Potential tehory symposium 2015, Meijo university, September 21, 2015.
    13. Polyharmonic Bergman space and its reproducing kernel, MSJ Autumn Meeting 2015, Kyoto Sangyo University, September 13, 2015.
    14. (with M.Nishio) Boundary behavior of the harmonic Bergman kernel, MSJ Spring Meeting 2015, Meiji university, March 23, 2015.
    15. Harmonic Bergman spaces with radial measure weight on the ball, Potential theory symposium 2014, Fukuyama university, September 4, 2014.slide
    16. Operators on harmonic Bergman space, AKOOS-PNU International Conference 2014(invited talk), Pusan university, February 7, 2014.slide
    17. Toeplitz operators on harmonic Bergman spaces, 56th Function theory symposium(invited talk), Waseda university, January 12, 2014.slide
    18. Interpolation of harmonic Bergman functions on smooth bounded domains, 22th Function space seminar, Tokyo university of science, December 22, 2013 slide
    19. Representation and interpolating sequence for harmonic Bergman functions, The Mathematical Society of Japan autumn meeting 2013, Ehime University, September 26, 2013.slide
    20. Interpolation theorem on harmonic Bergman space, Potential theory symposium 2013, Hokkaido University, August 29, 2013.
    21. Toeplitz operators on harmonic Bergman spaces, Hiroshima Complex Analysis Seminar, Hiroshima University, August 2, 2013.
    22. Toeplitz operators on harmonic Bergman spaces, Young Mathematician Workshop on Several Complex Variables 2013, Nagoya University, July 26, 2013.
    23. Weighted harmonic Bergman kernels of bounded smooth domains, Seminar on potential theory, Meijo University, December 14, 2012.
    24. A representation for harmonic Bergman function and its application, RIMS workshop Potential theory and its related fields, Kyoto University, September 6, 2012. slide
    25. Survey on estimates for harmonic Bergman kernels which is proved by Kang-Koo by using Nagel-Rosay-Stein-Wainger method, Asymptotic Expansion of the Bergman Kernel and Complex Geometry, University of Tokyo, August 14, 2012.
    26. Modified harmonic Bergman kernel and its application, The 6th Graduate Student Workshop on Mathematics, Pusan National University, July 24, 2012. slide
    27. An application to Toeplitz operators by atomic decompositions of harmonic Bergman fundtions, Seminar on potential theory, Meijo University, June 22, 2012.
    28. Remarks on atomic decompositions of harmonic Bergman spaces, MSJ Spring Meeting 2011, Tokyo University of Science, March 29, 2012. slide
    29. A representation and an interpolation theory for harmonic Bergman functions, The 19th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, Aster Plaza, December 15, 2011. slide
    30. Harmonic Bergman space on smooth bounded domain, Seminar on function spaces,2011, Hokkaido University, December 24, 2011. slide
    31. Atomic decompositions of harmonic Bergman spaces, Potential theory symposium 2011(gifu), Gifu University, November 3, 2011. slide
    32. A remark on atomic decompositions of harmonic Bergman spaces, Seminar on complex analysis, Osaka City University, October 20, 2011.
    33. Remarks on atomic decompositions of harmonic Bergman spaces, Seminar on potential theory, Meijo University, November 11, 2011.
    34. Analysis on harmonic Bergman spaces, Seminar on potential theory, Meijo University, June 24, 2011.

    Curriculum vitae

    Education

    Staying abroad

    Teaching Asistant

    1. Osaka city university, Analysis III, 2010/04/01-2010/9/30
    2. Osaka city university, Complex analysis I, 02011/04/01-2011/9/30
    3. Osaka city university, Ordinary differential equations, 2012/04/01-2012/09/30
    4. Osaka city university, Introduction to Probability and Statistics, 2012/04/01-2012/09/30
    5. Osaka city university, Analysis II, 2012/10/01-2013/03/31
    6. Mikunigaoka high school, Super Science High school(SSH), 2012/04/01-2013/03/31