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Weighted composition operators between $H^\infty$ and Bergman type spaces

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Abstract

In this paper, we study the boundedness and the com-pactness of weighted composition operator betweenH1 and Berg-man type space on the unit ball of Cn . Also, the norm of corre-sponding weighted composition operator is computed.

참고문헌 (8)

  1. "Composition Operators on Spaces of Analytic Functions} Studies in Advanced Mathematics" (1995), CRC Press
  2. "Extend Ces\`aro operators on mixed norm spaces", (7), pp.2171~2179 (2003)
  3. "Weighted composition operators between Hinfty and the Bloch space", (3), pp.555~563 (2001)
  4. "Weighted composition operators between Bloch-type spaces", (1), pp.191~215 (2003)
  5. "Bloch-Hardy pullbacks", pp.709~718 (2001)
  6. "Function Theory in the Unit Ball of Bbb Cspn" (1980), Springer Verlag
  7. "and multipliers in spaces of analytic functions}", pp.287~ (1971)
  8. "Spaces of Holomorphic Functions in the Unit Ball" (2004)

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