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

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In this paper, we give new characterizations of the boundedness and compactness of composition operators C between Bloch type spaces in the unit ball Bⁿ, in terms of the power of the components of , where is a holomorphic self-map of Bⁿ.

Abstract

In this paper, we give new characterizations of the boundedness and compactness of composition operators C between Bloch type spaces in the unit ball Bⁿ, in terms of the power of the components of , where is a holomorphic self-map of Bⁿ.

참고문헌 (25)

  1. C. C. Cowen, "Composition Operators on Spaces of Analytic Func-tions" (1995), CRC Press
  2. H. Chen, "Composition operators on μ-Bloch spaces", Canad. J. Math, 61(1), pp.50~75 (2009)
  3. J. Dai, "Compact composition operators on the Bloch space of the unit ball", J. Math. Anal. Appl, 386(1), pp.294~299 (2012)
  4. K. Esmaeili, "Weighted composition operators between Zygmund type spaces and their essential norms", Integral Equations Operator Theory, 75(4), pp.473~490 (2013)
  5. Z. S. Fang, "Compact composition operators between Bloch type spaces in the polydisk", Abstr. Appl. Anal, 2012, pp.7~ (2012)
  6. Z. S. Fang, "Essential norms of composition operators between Bloch type spaces in the polydisk", Arch. Math. (Basel), 99(6), pp.547~556 (2012)
  7. O. Hyv¨arinen, "The essential norm of weighted composition operators on weighted Banach spaces of analytic func-tions", Integral Equations Operator Theory, 72(2), pp.151~157 (2012)
  8. O. Hyv¨arinen, "Estimates of essential norms of weighted composition operators between Bloch-type spaces", J. Math. Anal. Appl, 393(1), pp.38~44 (2012)
  9. Y. X. Liang, "Essential norm of the product of differentiation and com-position operators between Bloch-type spaces", Arch. Math. (Basel), 100(4), pp.347~360 (2013)
  10. Y. X. Liang, "New estimate of essential norm of composition followed by differentiation be-tween Bloch-type spces", Banach J. Math. Anal, 7, pp.160~172 (2013)
  11. K. Madigan, "Compact composition operators on the Bloch space", Trans. Amer. Math. Soc, 347(7), pp.2679~2687 (1995)
  12. J. Manhas, "New estimates of essential norms of weighted composition op-erators between Bloch type spaces", J. Math. Anal. Appl, 389(1), pp.32~47 (2012)
  13. J. H. Shapiro, "The essential norm of a composition operator", Ann. Math, 125(2), pp.375~404 (1987)
  14. J. H. Shapiro, "Composition Operators and Classical Function Theory" (1993), Springer-Verlag
  15. S. Stevi´c, "On new Bloch-type spaces", Appl. Math. Comput, 215(2), pp.841~849 (2009)
  16. S. Stevi´c, "Weighted composition operators between Bloch-type spaces in the polydisk", Sbornik Mathematics, 201(2), pp.289~319 (2010)
  17. Y. Wu, "Products of differentiation and composition operators on the Bloch space", Collect. Math, 63(1), pp.93~107 (2012)
  18. H. Wulan, "Compact composition operators on BMO and the Bloch space", Proc. Amer. Math. Soc, 137(11), pp.3861~3868 (2009)
  19. R. Zhao, "Essential norms of composition operators between Bloch type spaces", Proc. Amer. Math. Soc, 138(7), pp.2537~2546 (2010)
  20. Z. H. Zhou, "Weighted composition operator between weighted-type space and Hardy space on the unit ball", Ann. Polon. Math, 104(3), pp.309~319 (2012)
  21. Z. H. Zhou, "Compact composition operators on the Bloch space in the polydisk", Sci. China Ser. A, 44(3), pp.286~291 (2001)
  22. Z. H. Zhou, "Composition operators on the Bloch space in the polydisk", Complex Variables, 46(1), pp.73~88 (2001)
  23. Z. H. Zhou, "Compactness of composition operators on the Bloch space in classical bounded symmetric domains", Michigan Math. J, 50(2), pp.381~405 (2002)
  24. H. G. Zeng, "Essential norm estimate of a composition operator between Bloch-type spaces in the unit ball", Rocky Mountain J. Math, 42(3), pp.1049~1071 (2012)
  25. K. Zhu, "Operator Theory in Function Spaces" (1990), Marcel Dekker

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