Probabilistic Behavior of Harmonic Functions: 175 (Progress in Mathematics) - Tapa dura

Moore, Charles N.; Banuelos, Rodrigo

 
9783764360627: Probabilistic Behavior of Harmonic Functions: 175 (Progress in Mathematics)
Tapa dura
ISBN 10: 3764360623 ISBN 13: 9783764360627
Editorial: Birkhäuser, 1999

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Críticas

"The book is devoted to the interplay of potential theory and probability theory...The reader interested in this subject – the interplay of probability theory, harmonic analysis and potential theory – will find a systematic treatment, inspiring both sides, analysis and probability theory."

–Zentralblatt Math

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
1999
Idioma
Inglés
ISBN 10 
3764360623
ISBN 13 
9783764360627
Encuadernación
Tapa dura
Número de páginas
228
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9783034897457: Probabilistic Behavior of Harmonic Functions: 175 (Progress in Mathematics)

Edición Destacada

ISBN 10:  3034897456 ISBN 13:  9783034897457
Editorial: Birkhäuser, 2012
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