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Composition operators from hardy spaces into ？？-bloch spaces on the polydisk

Li Songxiao
대한수학회 (The Korean Mathematical Society)|2005.10|대한수학회논문집 (Communications of the KMS)|제20권 제4호|pp. 703-708

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Abstract

Abstract. Let '(z)=('1(z), ;'n(z)) be a holomorphic self ￠￠￠ map of Dn, where Dn is the unit polydisk of Cn . The su±cient and necessary conditions for a composition operator to be bounded and compact from the Hardy space H2(Dn) into ??-Bloch space B ??(Dn) on the polydisk are given.

참고문헌 (7)

  1. "Composition operators on spaces of analytic functions Studies in Advanced Mathematics" (1995), CRC Press
  2. "Bloch-hardy pullbacks", 67, pp.709~718 (2001)
  3. "Function theory in polydiscs" (1969)
  4. "Composition operators on the Bloch space in polydiscs", 46(1), pp.73~88 (2001)
  5. "^Compact composition operators on the Bloch space in polydisk", 31(2), pp.111~116 (2001), no. 2
  6. "Composition operators on the Lipschitz space in poly-disc", 32(5), pp.385~389 (2002)
  7. "Operator theory on function spaces" (1990)

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