Probabilistic Behavior of Harmonic Functions

Name: Probabilistic Behavior of Harmonic Functions
Brand: Springer Basel
SKU: 9783034897457
Price: 214.72 PLN
Availability: InStock

Autor: Rodrigo Banuelos, Charles N. Moore

Język:

Oprawa: Miękka

Wydawca: Springer Basel

Dostępność: Dostępna u dostawcy

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

Informacje o książce

Autor

Rodrigo Banuelos, Charles N. Moore

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

1999

strony

209

EAN

9783034897457

ISBN

3034897456

Enbook ID

02011380

Wydawca

Springer Basel

Waga

355

Wymiary

155 x 235 x 13

Pełny opis

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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