令B为N 维复空间 CN的开单位球, φ是B上的解析自映射, g是B上的解析函数, 且g(0) = 0, 则广义复合算子定义为 Cφg(f)(z) = ∫01Rf(φ(tz))g(tz)(dt/t). 本文主要研究单位球上从F(p, q, s)空间到加权Bloch空间Bμ的广义复合算子的差分有界性与紧致性.
Abstract
Let B be the unit ball of the complex vector space CN, φ is a holomorphic self-mapping of B, and g is a holomorphic function on B with g(0) = 0, we define the generalized composition operator as follows Cφg(f)(z) = ∫01Rf(φ(tz))g(tz)(dt/t). In this paper, we characterize the boundedness and compactness of difference of generalized composition operators, acting from F(p,q,s) space to weighted Bloch space Bμ on the unit ball B.
关键词
差分 /
广义复合算子 /
F(p /
q /
s)空间 /
加权Bloch空间
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Key words
differences /
generalized composition operator /
F(p,q,s) space /
weighted Bloch space
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参考文献
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脚注
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基金
南阳师范学院校级基金资助项目(ZX2014076)
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