Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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OPERATOR FRACTIONAL BROWNIAN SHEET AND MARTINGALE DIFFERENCES

  • Dai, Hongshuai (School of Statistics Shandong University of Finance and Economics) ;
  • Shen, Guangjun (Department of Mathematics Anhui Normal University) ;
  • Xia, Liangwen (Department of Mathematics Anhui Normal University)
  • Received : 2016.08.25
  • Accepted : 2017.10.17
  • Published : 2018.01.31
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Abstract

In this paper, inspired by the fractional Brownian sheet of Riemann-Liouville type, we introduce the operator fractional Brownian sheet of Riemman-Liouville type, and study some properties of it. We also present an approximation in law to it based on the martingale differences.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China, Shandong Natural Science Foundation, Distinguished Young scholars Foundation of Anhui Province, University Discipline

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