Advertisement

Gross-Stroock Sobolev Spaces over a Gaussian Probability Space

  • Paul Malliavin
Chapter
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 313)

Abstract

Continuity of the Cameron-Martin representation over L∞−0 — The space D 1 of differentiable vectors of the Cameron-Martin representation — Gradient operator — Generalized polynomials — Cauchy operator; Krée-Meyer inequality for the gradient — The spaces D 1 p — Gradient of Hilbert-valued functionals — Recursive approach to higher derivatives and to Krée-Meyer inequalities of higher order — The space D of smooth functionals, its approximation by C cylindrical functionals — Divergence as the adjoint of the gradient — Divergence of smooth vector fields — Shigekawa acyclicity of the complex of differential forms — Appendix: Proof of the L p inequality for the Hilbert transform.

Keywords

Bilinear Form Differential Form Cauchy Sequence Separable Hilbert Space Hermite Polynomial 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Paul Malliavin

There are no affiliations available

Personalised recommendations