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Averaging Operators and Martingale Inequalities in Rearrangement Invariant Function Spaces
Published online by Cambridge University Press: 20 November 2018
Abstract
We shall study some connection between averaging operators and martingale inequalities in rearrangement invariant function spaces. In Section 2 the equivalence between Shimogaki’s theorem and some martingale inequalities will be established, and in Section 3 the equivalence between Boyd’s theorem and martingale inequalities with change of probability measure will be established.
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- Copyright © Canadian Mathematical Society 1999
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