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β-Hausdorff Operator on Lipschitz Space in the Unit Polydisk

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DOI: 10.4236/apm.2014.45022    2,500 Downloads   3,285 Views  

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.

Conflicts of Interest

The authors declare no conflicts of interest.

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.

References

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