Ebook: Martingale Theory in Harmonic Analysis and Banach Spaces: Proceedings of the NSF-CBMS Conference Held at the Cleveland State University, Cleveland, Ohio, July 13–17, 1981

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Content:
Front Matter....Pages -
A note on strong, non-anticipating solutions for stochastic differential equations: When is path-wise uniqueness necessary?....Pages 1-5
A simple version of the Malliavin calculus in dimension one....Pages 6-12
On the support of the measures in a semigroup of probability measures on a locally compact group....Pages 13-17
Hardy spaces on regular martingales....Pages 18-28
The harmonic measure of porous membranes in R 3 ....Pages 29-35
On compactness and optimality of stopping times....Pages 36-61
Martingales of increasing functions....Pages 62-72
On the Hilbert transform for Banach space valued functions....Pages 73-80
Gaussian measures on Orlicz spaces and abstract Wiener spaces....Pages 81-97
Exit times of diffusions....Pages 98-105
Generalized Lipschitz spaces and Herz spaces on certain totally disconnected groups....Pages 106-121
Stochastic barriers for the Wiener process and a mathematical model....Pages 122-130
On the duality between type and cotype....Pages 131-144
Martingales and the fine line between Asplund spaces and spaces not containing a copy of ?1 ....Pages 145-156
Central limit theorems for dependent random vectors in Banach spaces....Pages 157-180
Product random measures and double stochastic integrals....Pages 181-199
Absolutely divergent series and Banach operator ideals....Pages 200-210
L?vy type inequality for a class of finite metric spaces....Pages 211-215
Asymptotic behavior of martinagales in Banach spaces II....Pages 216-225

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Content:
Front Matter....Pages -
A note on strong, non-anticipating solutions for stochastic differential equations: When is path-wise uniqueness necessary?....Pages 1-5
A simple version of the Malliavin calculus in dimension one....Pages 6-12
On the support of the measures in a semigroup of probability measures on a locally compact group....Pages 13-17
Hardy spaces on regular martingales....Pages 18-28
The harmonic measure of porous membranes in R 3 ....Pages 29-35
On compactness and optimality of stopping times....Pages 36-61
Martingales of increasing functions....Pages 62-72
On the Hilbert transform for Banach space valued functions....Pages 73-80
Gaussian measures on Orlicz spaces and abstract Wiener spaces....Pages 81-97
Exit times of diffusions....Pages 98-105
Generalized Lipschitz spaces and Herz spaces on certain totally disconnected groups....Pages 106-121
Stochastic barriers for the Wiener process and a mathematical model....Pages 122-130
On the duality between type and cotype....Pages 131-144
Martingales and the fine line between Asplund spaces and spaces not containing a copy of ?1 ....Pages 145-156
Central limit theorems for dependent random vectors in Banach spaces....Pages 157-180
Product random measures and double stochastic integrals....Pages 181-199
Absolutely divergent series and Banach operator ideals....Pages 200-210
L?vy type inequality for a class of finite metric spaces....Pages 211-215
Asymptotic behavior of martinagales in Banach spaces II....Pages 216-225
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