id: 01293673
dt: j
an: 01293673
au: Kikuchi, Masato
ti: Linear functions on certain martingale Hardy spaces.
so: Interdiscip. Inf. Sci. 4, No.1, 85-96 (1998).
py: 1998
pu: Tohoku University, Graduate School of Information Sciences, Sendai
la: EN
cc: 
ut: martingales; Hardy spaces; Banach function spaces; rearrangement invariant
    function spaces
ci: Zbl 0464.60001; Zbl 0284.60046; Zbl 0494.60002
li: doi:10.4036/iis.1998.85
ab: The author introduces some Hardy spaces associated with a rearrangement
    invariant Banach function space and containing all càdlàg processes,
    all adapted càdlàg processes and all martingales, respectively. The
    duals of these Hardy spaces are characterized and so some duality
    results from the books of {\it A. M. Garsia} [“Martingale
    inequalities. Seminar notes on recent progress” (1973; Zbl
    0284.60046)] and {\it C. Dellacherie} and {\it P.-A. Meyer}
    [“Probabilities and potential. B: Theory of martingales” (1982; Zbl
    0494.60002)] are generalized.
rv: F.Weisz (Budapest)