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Products of differentiation and composition on Bloch spaces

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We will consider the questions of when the products of composition and differentiation are bounded and compact on Bloch and little Bloch spaces.

Abstract

We will consider the questions of when the products of composition and differentiation are bounded and compact on Bloch and little Bloch spaces.

참고문헌 (9)

  1. A. B. Aleksandrov, "Inner functions, Bloch spaces and symmetric measures", Proc. London Math. Soc, 79(2), pp.318~352 (1999)
  2. C. C. Cowen, "Composition Operators on Spaces of Analytic Functions, Studies in Advanced Mathematics" (1995), CRC Press
  3. P. L. Duren, "Theory of Hp Spaces" (1970), Academic Press
  4. R. A. Hibschweiler, "Composition followed by differentiation between Bergman and Hardy spaces", Rocky Mountain J. Math, 35(3), pp.843~855 (2005)
  5. S. Ohno, "Products of composition and differentiation between Hardy spaces", Bull. Austral. Math. Soc, 73(2), pp.235~243 (2006)
  6. S. Ohno, "Weighted composition operators between Bloch-type spaces", Rocky Mountain J. Math, 33(1), pp.191~215 (2003)
  7. J. H. Shapiro, "Composition Operators and Classical Function Theory" (1993), Springer-Verlag
  8. W. Smith, "Composition operators between Bergman and Hardy spaces", Trans. Amer. Math. Soc, 348(6), pp.2331~2348 (1996)
  9. K. Zhu, "Operator Theory in Function Spaces" (1990), Marcel Dekker

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