Averaging Operators and Martingale Inequalities in Rearrangement Invariant Function Spaces
Keyword(s):
AbstractWe 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 andmartingale inequalities with change of probability measure will be established.
1988 ◽
Vol 64
(3)
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pp. 267-275
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1996 ◽
Vol 61
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pp. 150-161
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2001 ◽
Vol 25
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pp. 451-465
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1992 ◽
Vol 112
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pp. 183-194
1996 ◽
Vol 126
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pp. 1011-1026
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1971 ◽
Vol 7
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pp. 267-284
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