关于从混合模空间到小 |Zygmund 空间的 Volterra 型复合算子

Abstract

Abstract:

In this paper, using the estimate of the higher order derivative of the function in mixed norm spaces, the properties of the analytic function andoperator theory, the authorscharacterize the boundedness and compactness of the Volterra-type composition operator from mixed norm spaces $\100dpi \inline $H(p,\, q,\, \phi)$$ to little Zygmund spaces. Some necessary and sufficient conditions of the Volterra-type composition operatorsto be bounded and compact are obtained.

Key words: Boundedness, Compactness , Mixed norm space , Little Zygmund space , Volterra-type composition , operators.

CLC Number:

47B38

LIU Yong-Min, YU Yan-Yan. On Volterra-type Composition Operators from Mixed Norm Spaces |to Little Zygmund Spaces[J].Acta mathematica scientia,Series A, 2015, 35(1): 210-217.

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References

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On Volterra-type Composition Operators from Mixed Norm Spaces |to Little Zygmund Spaces

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