논문KCI 등재
Reducing subspaces for a class of Toeplitz operators on weighted Hardy spaces over bidisk
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We consider weighted Hardy spaces on bidisk ${\mathbb D}^2$ which generalize the weighted Bergman spaces $A_\alpha^2({\mathbb D}^2)$. Let $z,w$ be coordinate functions and $T_{\overline{z}^Nw}$ Toeplitz operator with symbol $\overline{z}^Nw$. In this paper, we study the reducing subspaces of $T_{\overline{z}^Nw}$ on the weighted Hardy spaces.
Abstract
We consider weighted Hardy spaces on bidisk ${\mathbb D}^2$ which generalize the weighted Bergman spaces $A_\alpha^2({\mathbb D}^2)$. Let $z,w$ be coordinate functions and $T_{\overline{z}^Nw}$ Toeplitz operator with symbol $\overline{z}^Nw$. In this paper, we study the reducing subspaces of $T_{\overline{z}^Nw}$ on the weighted Hardy spaces.
참고문헌 (8)
- Mohammed Albaseer, "REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISK", 대한수학회보, 52(5), pp.1649~1660 (2015), 대한수학회
- T. Gamelin, "Uniform Algebras" (1969), Prentice-Hall
- K. Guo, "Multiplication Operators on the Bergman Space" (2015), Springer Berlin
- S. Kuwahara, "Reducing subspaces of weighted Hardy spaces on polydisks", Nihonkai Math. J, 25(2), pp.77~83 (2014)
- S. Kuwahara, "Reducing subspaces of multiplication operators on weighted Hardy spaces over bidisk", J. Math. Soc. Japan
- A. L. Shields, "Topics in Oper-ator Theory" (1974), Amer. Math. Sot.
- M. Stessin, "Reducing subspace of weighted shift operators", Proc. Amer. Math. Soc, 130(9), pp.2631~2639 (2002)
- K. Zhu, "Reducing subspaces for a class of multiplication operators", J. London Math. Soc, 62(2), pp.553~568 (2000)
관련 논문AI추천
Reducing subspaces for Toeplitz operators on the polydiskYanyue Shi, Yufeng Lu대한수학회 · 대한수학회보2013 · 제50권 제2호REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISKMohammed Albaseer, Yanyue Shi, Yufeng Lu대한수학회 · 대한수학회보2015 · 제52권 제5호Reducing subspaces of a class of multiplication operatorsBin Liu, Yanyue Shi대한수학회 · 대한수학회보2017 · 제54권 제4호Fredholm Toeplitz operators on the Dirichlet spaces of the polydisk나경욱대한수학회 · 대한수학회보2020 · 제57권 제2호Some Toeplitz operators on weighted Bergman spaces강시호대한수학회 · 대한수학회보2011 · 제48권 제1호Zero based invariant subspaces and fringe operators over the bidiskKei Ji Izuchi, Kou Hei Izuchi, Yuko Izuchi대한수학회 · 대한수학회지2016 · 제53권 제4호
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