What is it about?

Characterization of a Banach function space with properties possesed by Lebesgue space.

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Why is it important?

The main result shows that there is a close conection between the structure of a Banach fucntion space and the martingale theory.

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This page is a summary of: A CHARACTERIZATION OF BANACH FUNCTION SPACES ASSOCIATED WITH MARTINGALES This research was partially supported by the Ministry of Education, Science, Sports and Culture, Grant-in-Aid for Scientific Resear..., Glasgow Mathematical Journal, February 2004, Cambridge University Press,
DOI: 10.1017/s0017089503001617.
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