Bergman type operators on mixed norm spaces over the ball in ℂn


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Abstract

The paper considers Bergman type operators introduced by Shields and Williams depending on a normal pair of weight functions. We prove that there exist values of parameter ß for which these operators are bounded on mixed norm spaces L(p, q, ß) on the unit ball in Cn.

About the authors

K. L. Avetisyan

Yerevan State University

Author for correspondence.
Email: avetkaren@ysu.am
Armenia, Yerevan

N. T. Gapoyan

Yerevan State University

Email: avetkaren@ysu.am
Armenia, Yerevan

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