호남수학학술지 (Honam Mathematical Journal)

  • 제43권1호
  • /
  • Pages.59-67
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  • 2021
  • /
  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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FINITE RANK LITTLE HANKEL OPERATORS ON THE DIRICHLET SPACE OF THE POLYDISK

  • Lee, Young Joo (Department of Mathematics, Chonnam National University)
  • 투고 : 2020.09.07
  • 심사 : 2020.12.09
  • 발행 : 2021.03.25
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초록

We characterize pluriharmonic symbols of the finite rank little Hankel operators on the Dirichlet space of the unit polydisk.

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참고문헌

  1. B. R. Choe, H. Koo and Y. J. Lee, Finite rank Toeplitz products with harmonic symbols, J. Math. Anal. Appl. 343 (2008) 81-98. https://doi.org/10.1016/j.jmaa.2008.01.019
  2. K. Guo and D. Zheng, Invariant subspaces, quasi-invariant subspaces, and Hankel operators, J. Functional Analysis 187 (2001) 308-342. https://doi.org/10.1006/jfan.2001.3820
  3. Y. J. Lee, Kernels and ranks of Hankel operators on the Dirichlet spaces, J. Math. Anal. Appl. 462 (2018) 263-278. https://doi.org/10.1016/j.jmaa.2018.02.002
  4. R. A. Martinez-Avendano and P. Rosenthal, An Introduction to Operators on the HardyHilbert Space, Springer, New York, 2006.