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COMPACT INTERTWINING RELATIONS FOR COMPOSITION OPERATORS BETWEEN THE WEIGHTED BERGMAN SPACES AND THE WEIGHTED BLOCH SPACES

  • Tong, Ce-Zhong;Zhou, Ze-Hua
    • Journal of the Korean Mathematical Society
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    • v.51 no.1
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    • pp.125-135
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    • 2014
  • We study the compact intertwining relations for composition operators, whose intertwining operators are Volterra type operators from the weighted Bergman spaces to the weighted Bloch spaces in the unit disk. As consequences, we find a new connection between the weighted Bergman spaces and little weighted Bloch spaces through this relations.

DISJOINT SUPERCYCLIC WEIGHTED COMPOSITION OPERATORS

  • Liang, Yu-Xia;Zhou, Ze-Hua
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.4
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    • pp.1137-1147
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    • 2018
  • In this paper, we discovered a sufficient condition ensuring the weighted composition operators $C_{{\omega}_1,{\varphi}_1},{\cdots},C_{{\omega}_N,{\varphi}_N}$ were disjoint supercyclic on $H({\Omega})$ endowed with the compact open topology. Besides, we provided a condition on inducing symbols to guarantee the disjoint supercyclicity of non-constant adjoint multipliers $M^*_{{\varphi}_1},M^*_{{\varphi}_2},{\cdots},M^*_{{\varphi}_N}$ on a Hilbert space ${\mathcal{H}}$.

NEW CHARACTERIZATIONS OF COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALL

  • Fang, Zhong-Shan;Zhou, Ze-Hua
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.3
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    • pp.751-759
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    • 2015
  • In this paper, we give new characterizations of the boundedness and compactness of composition operators $C_{\varphi}$ between Bloch type spaces in the unit ball $\mathbb{B}^n$, in terms of the power of the components of ${\varphi}$, where ${\varphi}$ is a holomorphic self-map of $\mathbb{B}^n$.

The Behavior Characteristic and Buckling Strength of Stiffening-Girder of Cable stayed bridge according to Pylon's shape and Flexure Stiffness (주탑형상 및 강성이 사장교의 거동 및 주형좌굴에 미치는 영향)

  • Choe Hak-Ze;Chae Gyu-Bong
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.759-763
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    • 2006
  • Cable Stayed Bridge is mainly composed of three element. Composed element are cable. stiffening girder and Pylon. The characteristic of bridge's behavior depend on these three element's relative stiffness, shape and system of bridge. The purpose of this paper is to exame the characteristic of bridge's behavior and buckling strength of stiffening girder according to shape and flexure stiffness of pylon

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ALMOST STABILITY OF ISHIKAWA ITERATIVE SCHEMES WITH ERRORS FOR φ-STRONGLY QUASI-ACCRETIVE AND φ-HEMICONTRACTIVE OPERATORS

  • Kim, Jong-Kyu;Liu, Ze-Qing;Kang, Shin-Min
    • Communications of the Korean Mathematical Society
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    • v.19 no.2
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    • pp.267-281
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    • 2004
  • In this paper, we establish almost stability of Ishikawa iterative schemes with errors for the classes of Lipschitz $\phi$-strongly quasi-accretive operators and Lipschitz $\phi$-hemicontractive operators in arbitrary Banach spaces. The results of this paper extend a few well-known recent results.

DISCUSSION ON THE ANALYTIC SOLUTIONS OF THE SECOND-ORDER ITERATED DIFFERENTIAL EQUATION

  • Liu, HanZe;Li, WenRong
    • Bulletin of the Korean Mathematical Society
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    • v.43 no.4
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    • pp.791-804
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    • 2006
  • This paper is concerned with a second-order iterated differential equation of the form $c_0x'(Z)+c_1x'(z)+c_2x(z)=x(az+bx(z))+h(z)$ with the distinctive feature that the argument of the unknown function depends on the state. By constructing a convergent power series solution of an auxiliary equation, analytic solutions of the original equation are obtained.

HEREDITARILY HYPERCYCLICITY AND SUPERCYCLICITY OF WEIGHTED SHIFTS

  • Liang, Yu-Xia;Zhou, Ze-Hua
    • Journal of the Korean Mathematical Society
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    • v.51 no.2
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    • pp.363-382
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    • 2014
  • In this paper we first characterize the hereditarily hypercyclicity of the unilateral (or bilateral) weighted shifts on the spaces $L^2(\mathbb{N},\mathcal{K})$ (or $L^2(\mathbb{Z},\mathcal{K})$) with weight sequence {$A_n$} of positive invertible diagonal operators on a separable complex Hilbert space $\mathcal{K}$. Then we give the necessary and sufficient conditions for the supercyclicity of those weighted shifts, which extends some previous results of H. Salas. At last, we give some conditions for the supercyclicity of three different weighted shifts.