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Bounded composition operators from the Bergman space to the Hardy space

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Letø be an analytic self map of the open unit disc D. In this paper, we study the composition operator Cø from the Bergman space on D to the Hardy space on D.

Abstract

Letø be an analytic self map of the open unit disc D. In this paper, we study the composition operator Cø from the Bergman space on D to the Hardy space on D.

참고문헌 (7)

  1. C. Bishop, "Orthogonal functions in H", Pacific J. Math, 220(1), pp.1~31 (2005)
  2. J. Moorhouse, "Differences of composition opertors", Contemporary Mathe-matics, 321, pp.207~213 (2003)
  3. T. Nakazi, "The Nevanlinna counting functions for Rudin’s orthogonal functions", Proc. Amer. Math. Soc, 131(4), pp.1267~1271 (2003)
  4. T. Nakazi, "Isometric composition operators between two weighted Hardy spaces", Nihonkai Math. J, 17(2), pp.111~124 (2006)
  5. T. Nakazi, "Properties of a Rudin’s orthogonal function which is a linear combination of two inner functions", Sci. Math. Jpn, 57(2), pp.413~418 (2003)
  6. W. Smith, "Composition operators between Bergman and Hardy spaces", Trans. Amer. Math. Soc, 348(6), pp.2331~2348 (1996)
  7. C. Sundberg, "Measures induced by analytic functions and a problem of Walter Rudin", J. Amer. Math. Soc, 16(1), pp.69~90 (2003)

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