Abstract
We point out that Dirichlet spaces on L 2 (ℝn) can be considered as anisotropic Sobolev spaces, i.e. function spaces. Using properties of these function spaces it is possible to construct Hunt processes and Feller processes associated with certain non-classical pseudo differential operators. Further, one can examine these stochastic processes with the help of these anisotropic Sobolev spaces.
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© 1993 Springer Fachmedien Wiesbaden
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Jacob, N. (1993). Anisotropic Sobolev Spaces in Probability Theory. In: Schmeisser, HJ., Triebel, H. (eds) Function Spaces, Differential Operators and Nonlinear Analysis. Teubner-Texte zur Mathematik, vol 133. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-11336-2_12
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DOI: https://doi.org/10.1007/978-3-663-11336-2_12
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-8154-2045-4
Online ISBN: 978-3-663-11336-2
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