Acta mathematica scientia,Series B ›› 2015, Vol. 35 ›› Issue (6): 1467-1474.doi: 10.1016/S0252-9602(15)30067-9

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INTERPOLATION OF LORENTZ-ORLICZ MARTINGALE SPACES

Chuanzhou ZHANG, Yu PAN, Xueying ZHANG   

  1. College of Science, Wuhan University of Science and Technology, Wuhan 430065, China
  • Received:2015-01-23 Revised:2014-06-27 Online:2015-11-01 Published:2015-11-01
  • Supported by:

    This work was supported by National Natural Science Foundation of China (Grant No. 11201354), by Hubei Province Key Laboratory of Systems Science in Metallurgical Process (Wuhan University of Science and Technology) (Y201321) and by National Natural Science Foundation of Pre-Research Item (2011XG005).

Abstract:

In this paper, we apply function parameters to real interpolation of Lorentz-Orlicz martingale spaces. Some new interpolation theorems are formulated which generalize some known results in Lorentz spaces Λα introduced by Sharpley.

Key words: martingale, Lorentz-Orlicz space, interpolation, function parameter

CLC Number: 

  • 60G46
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