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On some Banach spaces of martingales associated with function spaces
-
Masato Kikuchi
Published/Copyright:
June 29, 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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Articles in the same Issue
- 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
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- Construction of quasi-periodic response solutions in forced strongly dissipative systems
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- On the vanishing of the lower K-theory of the holomorph of a free group on two generators
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