Keywords
- Banach Space
- Brownian Motion
- Probability Space
- Banach Lattice
- Stochastic Integral
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.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Aldous, D.J. Unconditional bases and martingales in L p (F), Math. Proc. Cambridge Phil. Soc. 85 (1979) 117–123.
Billingsley, P. Convergence of Probability Measures (New York, Wiley, 1968).
Bourgain,J. Some remarks on Banach spaces in which martingale difference sequences are unconditional, Arkiv Mat. (1983) 163–168.
Burkholder, D. A geometrical condition that implies the existence of certain singular integrals of Banach-space valued functions, Proceedings of a conference on Harmonic Analysis, Volume I (Belmont, Wadsworth International, 1983).
Burkholder, D. A geometrical characterisation of Banach spaces in which martingale difference sequences are unconditional, Annals of Probability 9 (1981) 997–1011.
James, R.C. Weak compactness and reflexivity, Israel J. Math. 2 (1964) 101–119.
James, R.C. Super-reflexive spaces with bases, Pacific J. Math. 41 (1972) 409–419.
Kussmaul, A.U. Stochastic integration and generalised martingales, (London, Pitman,1977).
Maurey, B. Systeme de Haar, Seminaire Maurey-Schwartz (Ecole Polytechnique, Paris 1975).
Maurey, B. and Pisier, G. Séries de variables aléatoires vectorielles indépendentes et propriétés géometriques des espaces de Banach, Studia Math. 58 (1976) 45–90.
McKean, H.P., Jr. Stochastic Integrals (New York, Academic Press, 1969).
Métivier, M and Pellaumail, J. Stochastic Integration (New York, Academic Press, 1980).
Meyer,P.A. Martingales and Stochastic Integrals I, Springer Lecture Notes in Mathematics, 284, 1972.
Meyer,P.A. Un cours sur les Intégrales stochastiques, Springer Lecture Notes in Mathematics, 511, 1976
Rubio de Francia,J.L. Martingale and Integral Transforms of B-valued functions.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag
About this paper
Cite this paper
Garling, D.J.H. (1986). Brownian motion and UMD-spaces. In: Bastero, J., San Miguel, M. (eds) Probability and Banach Spaces. Lecture Notes in Mathematics, vol 1221. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099110
Download citation
DOI: https://doi.org/10.1007/BFb0099110
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-17186-7
Online ISBN: 978-3-540-47344-2
eBook Packages: Springer Book Archive
