Probabilistic Behavior of Harmonic Functions

Name: Probabilistic Behavior of Harmonic Functions
Brand: Springer Basel
SKU: 9783034897457
Price: 1147 CZK
Availability: InStock

Autor: Rodrigo Banuelos, Charles N. Moore

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer Basel

Dostupnost: Skladem u dodavatele

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Harmonic analysis and probability have long enjoyed a mutually beneficial relationship that has been...

Informace o knize

Autor

Rodrigo Banuelos, Charles N. Moore

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

1999

Stránek

209

EAN

9783034897457

ISBN

3034897456

Enbook ID

02011380

Vydavatel

Springer Basel

Hmotnost

355

Rozměry

155 x 235 x 13

Kompletní popis

Harmonic analysis and probability have long enjoyed a mutually beneficial relationship that has been rich and fruitful. This monograph, aimed at researchers and students in these fields, explores several aspects of this relationship. The primary focus of the text is the nontangential maximal function and the area function of a harmonic function and their probabilistic analogues in martingale theory. The text first gives the requisite background material from harmonic analysis and discusses known results concerning the nontangential maximal function and area function, as well as the central and essential role these have played in the development of the field.The book next discusses further refinements of traditional results: among these are sharp good-lambda inequalities and laws of the iterated logarithm involving nontangential maximal functions and area functions. Many applications of these results are given. Throughout, the constant interplay between probability and harmonic analysis is emphasized and explained. The text contains some new and many recent results combined in a coherent presentation.§

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Probabilistic Behavior of Harmonic Functions

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