On Infinite Dimensional Sheets

Denis Feyel and Arnaud de La Pradelle
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Denis Feyel: Université d’Evry-Val d’Essonne, Equipe d’Analyse et de Probabilités
Arnaud de La Pradelle: UA 754 au CNRS, Université Paris VI

A chapter in Potential Theory and Degenerate Partial Differential Operators, 1995, pp 345-359 from Springer

Abstract: Abstract S.Song has recently shown ([14],[15]) how characterize W 2,n -polar sets by the behaviour of Ornstein-Uhlenbeck sheets. Later on, J.Bauer ([1],[2]) has extended Song’s construction to multi-parameter processes of generalized Ornstein-Uhlenbeck type, as considered in [9],[10], satisfying a regularity hypothesis (hypothesis (R)).

Keywords: Linear Extension; Stochastic Integral; Wiener Measure; Brownian Sheet; Continuous Trajectory (search for similar items in EconPapers)
Date: 1995
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DOI: 10.1007/978-94-011-0085-4_4

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