单位球上Dirichlet型空间到Zμ型空间的积分型算子

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On an Integral-Type Operator from Dirichlet Spaces to Zygmund Type Spaces on the Unit Ball

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Abstract: Some questions of integral-type Operator from Dirichlet space to Zygmund type spaces in the unit ball were studied in this paper. By the methods of functional analysis and several complex variables, the necessary and sufficient conditions are given for integral-type operator to be bounded and compact from Dirichlet space to Zygmund type spaces in the unit ball.

Key words: Dirichlet space, Zygmund type spaces, Integral-type operator, Bounded, Compact

CLC Number:

O174.56

Zhao Yanhui, Zhang Xuejun. On an Integral-Type Operator from Dirichlet Spaces to Zygmund Type Spaces on the Unit Ball[J].Acta mathematica scientia,Series A, 2017, 37(2): 217-227.

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