Linear Functionals on Certain Martingale Hardy Spaces.
Copyright policy )Linear Functionals on Certain Martingale Hardy Spaces.
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 \textit{A. M. Garsia} [``Martingale inequalities. Seminar notes on recent progress'' (1973; Zbl 0284.60046)] and \textit{C. Dellacherie} and \textit{P.-A. Meyer} [``Probabilities and potential. B: Theory of martingales'' (1982; Zbl 0494.60002)] are generalized.
rearrangement invariant function spaces, Hardy spaces, martingales, martingale, rearrangement in variant function space, Banach function space, Martingales with discrete parameter, Martingales with continuous parameter, Hardy spece, Banach function spaces
rearrangement invariant function spaces, Hardy spaces, martingales, martingale, rearrangement in variant function space, Banach function space, Martingales with discrete parameter, Martingales with continuous parameter, Hardy spece, Banach function spaces
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