A note on the Malliavin–Sobolev spaces
Copyright policy )A note on the Malliavin–Sobolev spaces
In this paper, we provide a strong formulation of the stochastic G{��}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.
[MATH.MATH-PR] Mathematics [math]/Probability [math.PR], 330, Malliavin calculus, Probability (math.PR), Probabilités et mathématiques appliquées, 510, functional analysis, Secondary: 46B09, [MATH.MATH-PR]Mathematics [math]/Probability [math.PR], 519, stochastic Gâteaux differentiability, AMS 2010 subject classification: Primary: 60H07, Wiener space, FOS: Mathematics, Mathematics - Probability
[MATH.MATH-PR] Mathematics [math]/Probability [math.PR], 330, Malliavin calculus, Probability (math.PR), Probabilités et mathématiques appliquées, 510, functional analysis, Secondary: 46B09, [MATH.MATH-PR]Mathematics [math]/Probability [math.PR], 519, stochastic Gâteaux differentiability, AMS 2010 subject classification: Primary: 60H07, Wiener space, FOS: Mathematics, Mathematics - Probability
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