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arxiv: 1501.01777 · v1 · pith:LYSWHRG5new · submitted 2015-01-08 · 🧮 math.PR

A note on the Malliavin-Sobolev spaces

classification 🧮 math.PR
keywords spacesmalliavin-sobolevcharacterizationdifferentiabilityformulationgiveinclusioninternal
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In this paper, we provide a strong formulation of the stochastic G{\^a}teaux differentiability in order to study the sharpness of a new characterization, introduced in [6], of the Malliavin-Sobolev spaces. We also give a new internal structure of these spaces in the sense of sets inclusion.

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