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Timeline for Stochastic calculus in $L^1$

Current License: CC BY-SA 3.0

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Jan 14, 2023 at 17:24 vote accept ABIM
Jan 13, 2023 at 22:58 answer added Thomas Kojar timeline score: 1
Feb 12, 2016 at 21:37 comment added Stephan Sturm I just wonder what you intend to achieve with your question?
Feb 12, 2016 at 21:37 comment added Stephan Sturm If you do not require that the expectations are finite but allow an equality infinities, this follows also directly from localization.
Feb 12, 2016 at 14:03 comment added ABIM Good point, but does it's isometry types of results exists for L1 processes?
Feb 12, 2016 at 14:03 history edited ABIM CC BY-SA 3.0
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Feb 11, 2016 at 20:07 comment added Stephan Sturm Localization is a standard practice written down in nearly every stochastic analysis textbook. As limits in the definition of stochastic integrals are taken in probability, the generic setting for Ito's formula is neither $L^2$ nor $L^1$ but $L^0$.
Feb 11, 2016 at 16:22 history edited ABIM CC BY-SA 3.0
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Feb 11, 2016 at 7:40 history edited Nate Eldredge CC BY-SA 3.0
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Feb 11, 2016 at 7:39 comment added Nate Eldredge Can you be more specific about what kind of results you are looking for? It isn't really clear to me what you mean by the calculus being "defined on" an $L^1$ space. Certainly there are plenty of results in either area where $L^1$ spaces arise.
Feb 11, 2016 at 4:41 history asked ABIM CC BY-SA 3.0