XXX: 22, 357-360, LNM 1626 (1996)
GRANDITS, Peter
On a conjecture of Kazamaki
Retrieve article from Numdam
XXXII: 08, 73-85, LNM 1686 (1998)
GRANDITS, Peter;
KRAWCZYK, Leszek
Closedness of some spaces of stochastic integrals Retrieve article from Numdam
XXXIII: 16, 342-348, LNM 1709 (1999)
GRANDITS, Peter
Some remarks on L$^\infty $, H$^\infty $, and $BMO$ (
Martingale theory)
It is known from
1212 that neither $L^\infty$ nor $H^\infty$ is dense in $BMO$. This article answers a question raised by Durrett (
Brownian Motion and Martingales in Analysis, Wadworth 1984): Does there exist a $BMO$-martingale which has a best approximation in $L^\infty$? The answer is negative, but becomes positive if $L^\infty$ is replaced with $H^\infty$
Keywords: $BMO$,
Hardy spacesNature: Original Retrieve article from Numdam
