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A note on the Malliavin-Sobolev spaces

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Publication:899630
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DOI10.1016/j.spl.2015.08.020zbMath1329.60170arXiv1501.01777OpenAlexW1829242801MaRDI QIDQ899630

Dylan Possamaï, Thibaut Mastrolia, Peter Imkeller, Anthony Réveillac

Publication date: 30 December 2015

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01777


zbMATH Keywords

Malliavin calculusWiener spaceMalliavin-Sobolev spacesstochastic Gâteaux differentiability


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Stochastic calculus of variations and the Malliavin calculus (60H07)


Related Items (2)

Sobolev and Besov classes on infinite-dimensional spaces ⋮ Differentiability of SDEs with drifts of super-linear growth



Cites Work

  • A note on the de La Vallée Poussin criterion for uniform integrability
  • Unions of Lebesgue spaces and \(A_1\) majorants
  • Derivatives of Wiener functionals and absolute continuity of induced measures
  • Differentiable measures and the Malliavin calculus
  • Transformation of the Wiener measure under non-invertible shifts
  • On a characterization of the Sobolev spaces over an abstract Wiener space
  • Gaussian Hilbert Spaces


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