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Chaotic property of weighted composition operators

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In the present paper, we study the chaotic property of weighted composition operators acting on the holomorphic function space H(U).

Abstract

In the present paper, we study the chaotic property of weighted composition operators acting on the holomorphic function space H(U).

참고문헌 (13)

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  7. G. Godefroy, "Operators with dense invariant cyclic vector manifolds", J. Funct. Anal, 98(2), pp.229~269 (1991)
  8. K.-G. Grosse-Erdmann, "Hypercyclic and chaotic weighted shifts", Studia Math, 139(1), pp.47~68 (2000)
  9. G. R. MacLane, "Sequences of derivatives and normal families", J. Analyse Math, 2, pp.72~87 (1952)
  10. H. N. Salas, "Hypercyclic weighted shifts", Trans. Amer. Math. Soc, 347(3), pp.993~1004 (1995)
  11. J. H. Shapiro, "Composition Operators and Classical Function Theory" (1993), Springer-Verlag
  12. "Notes on dynamics of linear operator"[URL]
  13. B. Yousefi, "Hypercyclic property of weighted composition operators", Proc. Amer. Math. Soc, 135(10), pp.3263~3271 (2007)

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