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 APM  Vol.4 No.5 , May 2014
β-Hausdorff Operator on Lipschitz Space in the Unit Polydisk
Chaofeng Zhang*, Rong Hu
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Abstract: In this paper, we define β-Hausdorff operator on the unit polydisk and study the boundedness of the operator on Lipschitz space. Firstly, we translate the problem of coefficient into integral of weighted composition operator, then give the sufficient conditions of boundedness, and also obtain an upper bound for the operator norm on Lipschitz space.
Keywords: Unit Polydisk, Lipschitz Space, β-Hausdorff Operator, Weighted Composition Operator
Cite this paper: Zhang, C. and Hu, R. (2014) β-Hausdorff Operator on Lipschitz Space in the Unit Polydisk. Advances in Pure Mathematics, 4, 171-175. doi: 10.4236/apm.2014.45022.
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