Averaging Operators and Martingale Inequalities in Rearrangement Invariant Function Spaces
Canadian mathematical bulletin, Tome 42 (1999) no. 3, pp. 321-334

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-1999-038-7
Mots-clés : 60G44, 60G46, 46E30, Martingale inequalities, rearrangement invariant function spaces
Kikuchi, Masato. Averaging Operators and Martingale Inequalities in Rearrangement Invariant Function Spaces. Canadian mathematical bulletin, Tome 42 (1999) no. 3, pp. 321-334. doi: 10.4153/CMB-1999-038-7
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