2009•Modern Applied ScienceOpen access

Extended Cesaro Operator from to Bloch Space

Mingzhu Yang

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Abstract

Let g be a holomorphic function of the unit ball B in several complex variables, and denote by the induced extended Cesaro operator. This paper discussed the boundedness and compactness of acting from to Bloch space in the unit ball.

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Let g be a holomorphic function of the unit ball B in several complex variables, and denote by the induced extended Cesaro operator. This paper discussed the boundedness and compactness of acting from to Bloch space in the unit ball.

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Available abstract

Let g be a holomorphic function of the unit ball B in several complex variables, and denote by the induced extended Cesaro operator. This paper discussed the boundedness and compactness of acting from to Bloch space in the unit ball.

Key concepts: Holomorphic function, Unit sphere, Bloch space, Compact space, Mathematics, Operator (biology), Ball (mathematics), Pure mathematics

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