Abstract
On some vector spaces of adapted stochastic processes, we define increasing families of positive bilinear forms, which generalize the usual square brackets [X,Y] and angle brackets \({\langle X,Y\rangle}\). We study the corresponding Hardy spaces especially for p = 1 or 2, and extend to this abstract framework results of Fefferman type from martingale theory.
Keywords
- Hardy Space
- Countable Union
- Local Martingale
- Angle Bracket
- Martingale Theory
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© 2005 Springer-Verlag Berlin/Heidelberg
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Grecea, V. (2005). Positive Bilinear Mappings Associated with Stochastic Processes. In: Émery, M., Ledoux, M., Yor, M. (eds) Séminaire de Probabilités XXXVIII. Lecture Notes in Mathematics, vol 1857. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31449-3_10
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DOI: https://doi.org/10.1007/978-3-540-31449-3_10
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23973-4
Online ISBN: 978-3-540-31449-3
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