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Interpolation theorems on weighted Lorentz martingale spaces

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Abstract

In this paper several interpolation theorems on martingale Lorentz spaces are given. The proofs are based on the atomic decompositions of martingale Hardy spaces over weighted measure spaces. Applying the interpolation theorems, we obtain some inequalities on martingale transform operator.

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Authors and Affiliations

  1. School of Mathematics and Statistics Wuhan University, Wuhan, 430072, China

    Yong Jiao, Li-ping Fan & Pei-de Liu

Authors
  1. Yong Jiao
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  2. Li-ping Fan
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  3. Pei-de Liu
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Corresponding author

Correspondence to Yong Jiao.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant No. 10671147)

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Jiao, Y., Fan, Lp. & Liu, Pd. Interpolation theorems on weighted Lorentz martingale spaces. SCI CHINA SER A 50, 1217–1226 (2007). https://doi.org/10.1007/s11425-007-0075-7

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  • DOI: https://doi.org/10.1007/s11425-007-0075-7

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