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- catalog abstract ""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."--Jacket.".
- catalog contributor b11365310.
- catalog contributor b11365311.
- catalog created "1999.".
- catalog date "1999".
- catalog date "1999.".
- catalog dateCopyrighted "1999.".
- catalog description ""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."--Jacket.".
- catalog description "Includes bibliographical references and index.".
- catalog extent "xiv, 204 p. ;".
- catalog hasFormat "Probabilistic behavior of harmonic functions.".
- catalog identifier "0817660623 (alk. paper)".
- catalog isFormatOf "Probabilistic behavior of harmonic functions.".
- catalog isPartOf "Progress in mathematics (Boston, Mass.) ; v. 175.".
- catalog isPartOf "Progress in mathematics ; v. 175".
- catalog issued "1999".
- catalog issued "1999.".
- catalog language "eng".
- catalog publisher "Boston : Birkhäuser Verlag,".
- catalog relation "Probabilistic behavior of harmonic functions.".
- catalog subject "515/.53 21".
- catalog subject "Harmonic functions.".
- catalog subject "Probabilities.".
- catalog subject "QA405 .B26 1999".
- catalog title "Probabilistic behavior of harmonic functions / Rodrigo Bañuelos, Charles N. Moore.".
- catalog type "text".