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On some Banach spaces of martingales associated with function spaces
-
Masato Kikuchi
Veröffentlicht/Copyright:
29. Juni 2012
Abstract.
Let X be a Banach function space over a nonatomic probability space
and let 
be a filtration. We consider two Banach spaces of
martingales 
and 
that are associated with X and 
.
One of our results is a characterization of Banach function spaces X
such that 
for every filtration .
Received: 2009-12-07
Revised: 2010-06-28
Published Online: 2012-06-29
Published in Print: 2012-07-01
© 2012 by Walter de Gruyter Berlin Boston
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Schlagwörter für diesen Artikel
Martingale;
Banach function space;
rearrangement-invariant function space
Artikel in diesem Heft
- Masthead
- Representations of quivers over a ring and the Weak Krull–Schmidt Theorems
- Logarithmically improved regularity criteria for the 3D viscous MHD equations
- Tilting modules and universal localization
- A bound on the degree of schemes defined by quadratic equations
- Hardy's inequality in the scope of Dirichlet forms
- On some Banach spaces of martingales associated with function spaces
- Construction of quasi-periodic response solutions in forced strongly dissipative systems
- On the description of Leibniz superalgebras of nilindex
- Presentations of graph braid groups
- On the vanishing of the lower K-theory of the holomorph of a free group on two generators
- Boundedly generated subgroups of finite groups
