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  1. No Access

    Article

    Cyclic vectors in Fock-type spaces in multi-variable case

    This manuscript concerns with cyclic vectors in the Fock-type spaces \({L^{p}_{a}}(\mathbb C^d,s,\alpha )\) ...

    Hansong Huang, Kou Hei Izuchi in Annals of Functional Analysis (2024)

  2. No Access

    Article

    Sequences of Powers of Toeplitz Operators on the Bergman Space

    We consider Toeplitz operators Tu with symbol u on the Bergman space of the unit ball, and then study the convergences and summability for the sequences of powers of Toeplitz operators. We first charactreize anal...

    Yong Chen 陈泳, Kei Ji Izuchi, Kou Hei Izuchi, Young Joo Lee in Acta Mathematica Scientia (2021)

  3. No Access

    Article

    Ranks of Cross-Commutators and Unitary Module Maps

    Let M be an invariant subspace of \(H^2\) H ...

    Kei Ji Izuchi, Kou Hei Izuchi, Yuko Izuchi in Computational Methods and Function Theory (2018)

  4. No Access

    Article

    Fredholm indices of some fringe operators over the bidisk

    Let [z–w] be the smallest invariant subspace of H2 over the bidisk containing z–w. Let M be an invariant subspace satisfying [z–w]⊂≠M⊂ H2. We denote by FMz the compression operator of the multiplication operator ...

    Kei Ji Izuchi, Kou Hei Izuchi, Yuko Izuchi in Acta Scientiarum Mathematicarum (2017)

  5. No Access

    Article

    Fredholmness of fringe operators over the bidisk

    Let M be an invariant subspace of \(H^2\) H ...

    Kei Ji Izuchi, Kou Hei Izuchi, Yuko Izuchi in Archiv der Mathematik (2017)

  6. No Access

    Article

    Rank of Finite Rudin Type Backward Shift Invariant Subspaces Over the Bidisk

    The paper studies the rank of finite Rudin type backward shift invariant subspaces over the bidisk.

    Kei Ji Izuchi, Kou Hei Izuchi, Yuko Izuchi in Complex Analysis and Operator Theory (2017)

  7. No Access

    Article

    Ranks of backward shift invariant subspaces of the Hardy space over the bidisk

    Let \(\{\varphi _n(z)\}_{n\ge 0}\) be a sequence of inner functions satisfying that

    Kei Ji Izuchi, Kou Hei Izuchi, Yuko Izuchi in Mathematische Zeitschrift (2013)

  8. No Access

    Article

    Mixed invariant subspaces over the bidisk II

    For a mixed invariant subspace N of H 2 under T z and \(T^{*}_{w}\) ...

    Kou Hei Izuchi, Kei Ji Izuchi in Acta Mathematica Vietnamica (2013)

  9. No Access

    Article

    Hardy–Carleson Measures and Their Dual Poisson–Szegö Transforms

    Recently Choe et al. have introduced the notion of dual Berezin transforms and used it to obtain new characterizations of the Carleson measures for the weighted Bergman spaces over the unit ball in C ...

    Boo Rim Choe, Kou Hei Izuchi, Hyungwoon Koo in Potential Analysis (2013)

  10. No Access

    Article

    Mutually prime sequences of inner functions and the ranks of subspaces over the bidisk

    Let \({\{\varphi_n(z)\}_{n\ge0}}\) be a sequence of inner functions satisfying that \({\zeta_n(z):=\varphi_n(z)/\varphi_{n+1}(z)\in H^\infty(z)}\) ...

    Kei Ji Izuchi, Kou Hei Izuchi, Yuko Izuchi in Archiv der Mathematik (2012)

  11. No Access

    Article

    Commutativity in two-variable Jordan blocks on the Hardy space

    Let M be an invariant subspace of the Hardy space H2 over the bidisk and N = H2 ⊖ M. It is revisited the study of M on which RzR*w = R*wRz and of N on which SzS*w = S*wSz.

    Kei Ji Izuchi, Kou Hei Izuchi in Acta Scientiarum Mathematicarum (2012)

  12. No Access

    Article

    Mixed Invariant Subspaces over the Bidisk

    It is known that the structure of invariant subspaces I of the Hardy space H 2 over the bidisk is extremely complicated. One reason is that it is difficult to describe infinite dimensional...

    Kei Ji Izuchi, Kou Hei Izuchi, Masatoshi Naito in Complex Analysis and Operator Theory (2011)

  13. No Access

    Article

    Wandering subspaces and the Beurling type Theorem I

    An elementary proof of the Aleman, Richter and Sundberg theorem concerning the invariant subspaces of the Bergman space is given.

    Kei Ji Izuchi, Kou Hei Izuchi, Yuko Izuchi in Archiv der Mathematik (2010)

  14. No Access

    Article

    Quasi-wandering Subspaces in the Bergman Space

    Let \({\mathcal{B}}\) be the Bergman shift on the Bergman space

    Kei Ji Izuchi, Kou Hei Izuchi, Yuko Izuchi in Integral Equations and Operator Theory (2010)

  15. No Access

    Article

    Rank-one cross commutators on backward shift invariant subspaces on the bidisk

    For a backward shift invariant subspace N in H 2(Γ2), the operators S z and S w ...

    Kei Ji Izuchi, Kou Hei Izuchi in Acta Mathematica Sinica, English Series (2009)