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Let H(B) denote the space of all holomorphic functions on the unit
ball B of C^n. Let φ=(φ_1,…,φ_n) be a
holomorphic self-map of B and g ∈ H(B) with g(0)=0. In this paper we study
the boundedness and compactness of the generalized composition
operator <수식> from generalized weighted Bergman spaces into Bloch type spaces.
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참고문헌 (12)
참고문헌 신청
C. C. Cowen / 1995 / Composition Operators on Spaces of Analytic Functions / CRC Press
J. Shapiro / 1993 / Composition Operators and Classical Function Theory, Universitext: Tracts in Mathematics / Springer-Verlag
K. Madigan / 1995 / Compact composition operators on the Bloch space / Trans. Amer. Math. Soc. 37 (7) : 2679 ~ 2687
K. Zhu / 1990 / Operator Theory in Function Spaces, Monographs and Textbooks in Pure and Applied Mathematics / Marcel Dekker, Inc. 139
K. Zhu / 2005 / Spaces of Holomorphic Functions in the Unit Ball / Graduate Texts in Mathematics 226
J. Shapiro / 1993 / Composition Operators and Classical Function Theory, Universitext: Tracts in Mathematics / Springer-Verlag
K. Madigan / 1995 / Compact composition operators on the Bloch space / Trans. Amer. Math. Soc. 37 (7) : 2679 ~ 2687
K. Zhu / 1990 / Operator Theory in Function Spaces, Monographs and Textbooks in Pure and Applied Mathematics / Marcel Dekker, Inc. 139
K. Zhu / 2005 / Spaces of Holomorphic Functions in the Unit Ball / Graduate Texts in Mathematics 226
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