Current affiliation: University of ToyamaSubject: MathematicsPrimary location: Japan
Published in:Mathematica SlovacaPublication date:2015-01-01
Let X be a Banach function space over a nonatomic probability space Ω and let Mu denote the collection of all uniformly integrable martingales on Ω...
Published in:Mathematical Inequalities & ApplicationsPublication date:2003-01-01
Published in:Interdisciplinary Information SciencesPublication date:1998-01-01
Published in:Mathematische NachrichtenPublication date:2008-05-01
Let X be a Banach function space. It is shown that the Burkholder-Davis-Gundy inequality is vaild in X if and only if X can be renormed so as to be...
Published in:Forum MathematicumPublication date:2012-01-01
In martingale theory, various Banach spaces (of martingales) are considered. Analysis of such spaces are very importnat. For a Banach function spa...
Published in:Ricerche di MatematicaPublication date:2015-03-18
Published in:Acta Scientiarum MathematicarumPublication date:2014-01-01
Published in:Mathematical Inequalities & ApplicationsPublication date:2013-01-01
Published in:Séminaire de Probabilités XXVIPublication date:1992-01-01
Published in:MATHEMATICA SCANDINAVICAPublication date:2011-12-01
Published in:Glasgow Mathematical JournalPublication date:2007-09-01
Givne a Banach function space X over a nonatomic probability space and a filtration F,
one can associate a Banach space K(X,F) of martingales.
Published in:Canadian Mathematical BulletinPublication date:1999-09-01
Published in:Mathematische ZeitschriftPublication date:2009-05-13
Published in:Analysis MathematicaPublication date:1999-12-01
Published in:Colloquium MathematicumPublication date:2013-01-01
Published in:Collectanea mathematicaPublication date:2015-09-22
Published in:Proceedings of the Edinburgh Mathematical SocietyPublication date:2004-10-01
Sone new martingale inequalities in rearragment-invariant function spaces are established.
Published in:Journal of Mathematical Analysis and ApplicationsPublication date:1999-06-01
Published in:Journal of Mathematical Analysis and ApplicationsPublication date:2000-04-01
Published in:Glasgow Mathematical JournalPublication date:2004-02-01