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Chang, D.C., Gilbert, R. and Stevi, S. (2006) Hausdorff Operator on the Unit Polydisk in . Complex Variables and Elliptic Equations, 4, 329-345.
http://dx.doi.org/10.1080/17476930600610528

has been cited by the following article:

• TITLE: β-Hausdorff Operator on Lipschitz Space in the Unit Polydisk

  AUTHORS: Chaofeng Zhang, Rong Hu

  KEYWORDS: Unit Polydisk, Lipschitz Space, β-Hausdorff Operator, Weighted Composition Operator

  JOURNAL NAME: Advances in Pure Mathematics, Vol.4 No.5, May 5, 2014

  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.