2012•Journal of Mathematical InequalitiesOpen access

Generalized composition operator from Bloch-type spaces to mixed-norm space on the unit ball

Li Zhang, Ze‐Hua Zhou

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Abstract

Let H(B) be the space of all holomorphic functions on the unit ball B in C N , and S(B) the collection of all holomorphic self-maps of B . Let S(B) and g H(B) with g(0) = 0 , the generalized composition operator is defined by

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Let H(B) be the space of all holomorphic functions on the unit ball B in C N , and S(B) the collection of all holomorphic self-maps of B . Let S(B) and g H(B) with g(0) = 0 , the generalized composition operator is defined by

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Available abstract

Let H(B) be the space of all holomorphic functions on the unit ball B in C N , and S(B) the collection of all holomorphic self-maps of B . Let S(B) and g H(B) with g(0) = 0 , the generalized composition operator is defined by

Key concepts: Mathematics, Unit sphere, Pure mathematics, Operator norm, Norm (philosophy), Composition operator, Bloch space, Ball (mathematics)

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