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Selected Works of Donald L. Burkholder

BuchGebunden
729 Seiten
Englisch
Springererschienen am25.02.2011
This book chronicles Donald Burkholder's 35-year study of martingales, and its consequences. It reprints most of Burkholder's publications, as well as two commentaries which discuss his work and the remarkable spread of his ideas to many parts of mathematics.mehr
Verfügbare Formate
BuchGebunden
EUR160,49
BuchKartoniert, Paperback
EUR160,49
E-BookPDF1 - PDF WatermarkE-Book
EUR149,79

Produkt

KlappentextThis book chronicles Donald Burkholder's 35-year study of martingales, and its consequences. It reprints most of Burkholder's publications, as well as two commentaries which discuss his work and the remarkable spread of his ideas to many parts of mathematics.
Details
ISBN/GTIN978-1-4419-7244-6
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2011
Erscheinungsdatum25.02.2011
ReiheSelected Works in Probability and Statistics
Seiten729 Seiten
SpracheEnglisch
Gewicht1522 g
IllustrationenXXV, 729 p.
Artikel-Nr.11418770

Inhalt/Kritik

Inhaltsverzeichnis
On a class of stochastic approximation processes.- Sufficiency in the undominated case.- Iterates of conditional expectation operators.- On the order structure of the set of sufficient subfields.- Semi-Gaussian subspaces.- Successive conditional expectations of an integrable function.- Maximal inequalities as necessary conditions for almost everywhere convergence.- Martingale transforms. Ann. Math. Statist.- Extrapolation and interpolation of quasilinear operators on martingales.- A maximal function characterization of the class Hp.- Distribution function inequalities for the area integral.- Distribution function inequalities for martingales.- Boundary behaviour of harmonic functions in a half-space and Brownian motion.- One-sided maximal functions and Hp. J. Functional Analysis.- Boundary value estimation of the range of an analytic function.- A sharp inequality for martingale transforms.- Weak inequalities for exit times and analytic functions.- A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional.- Martingale transforms and the geometry of Banach spaces.- A nonlinear partial differential equation and the unconditional constant of the Haar system in Lp.- Boundary value problems and sharp inequalities for martingale transforms.- An elementary proof of an inequality of R. E. A. C. Paley.- Martingales and Fourier analysis in Banach spaces.- A sharp and strict Lp-inequality for stochastic integrals.- A proof of PeÅczyn´ski´s conjecture for the Haar system.- Differential subordination of harmonic functions and martingales.- Explorations in martingale theory and its applications.- Strong differential subordination and stochastic integration.- The best constant in the Davis inequality for the expectation of the martingale square function.- Joseph L. Doob.mehr