Chapter: On a Class of Stochastic Approximation Processes

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Home > Selected Works of Donald L. Burkholder > On a Class of Stochastic Approximation Processes

Selected Works of Donald L. Burkholder |

Burgess Davis; Renming Song

Springer New York

On a Class of Stochastic Approximation Processes

Chapter Info

Authors

Burgess Davis; Renming Song

ARI Id

1664832343030_3702229

Access

Not Available Free

Pages

31-46

DOI

10.1007/978-1-4419-7245-3_3

Chapter URL

https://rd.springer.com/chapter/10.1007/978-1-4419-7245-3_3

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Chapters/Headings	Author(s)	Pages	Info
Front Matter		i-xxv
Donald Burkholder’s Work in Martingales and Analysis	Burgess Davis; Renming Song	1-22
Don Burkholder’s work on Banach spaces	Burgess Davis; Renming Song	23-30
On a Class of Stochastic Approximation Processes	Burgess Davis; Renming Song	31-46
Sufficiency in the Undominated Case	Burgess Davis; Renming Song	47-56
Iterates of Conditional Expectation Operators	Burgess Davis; Renming Song	57-62
On the Order Structure of the Set of Sufficient Subfields	Burgess Davis; Renming Song	63-66
Semi-Gaussian Subspaces	Burgess Davis; Renming Song	67-75
Successive Conditional Expectations of an Integrable Function	Burgess Davis; Renming Song	76-82
Maximal Inequalities as Necessary Conditions for Almost Everywhere Convergence	Burgess Davis; Renming Song	83-96
Martingale Transforms	Burgess Davis; Renming Song	97-107
Extrapolation and Interpolation of Quasi-Linear Operators on Martingales	Burgess Davis; Renming Song	108-163
A Maximal Function Characterization of the Class H p	Burgess Davis; Renming Song	164-180
Integral Inequalities for Convex Functions of Operators on Martingales	Burgess Davis; Renming Song	181-198
Distribution function inequalities for the area integral	Burgess Davis; Renming Song	199-216
The 1971 Wald Memorial Lectures	Burgess Davis; Renming Song	217-240
Boundary Behaviour of Harmonic Functions in a Half-Space and Brownian Motion	Burgess Davis; Renming Song	241-258
One-Sided Maximal Functions and H p	Burgess Davis; Renming Song	259-283
Exit Times of Brownian Motion, Harmonic Majorization, and Hardy Spaces	Burgess Davis; Renming Song	285-308
Boundary Value Estimation of the Range of an Analytic function	Burgess Davis; Renming Song	309-323
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