Probabilistic Behavior of Harmonic Functions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1999
|
| Schriftenreihe: | Progress in Mathematics
175 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XIV, 209 p) |
| ISBN: | 9783034887281 9783034897457 |
| DOI: | 10.1007/978-3-0348-8728-1 |
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-8728-1 |
| format | Electronic eBook |
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| id | DE-604.BV042422221 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034887281 9783034897457 |
| language | English |
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| spelling | Bañuelos, Rodrigo Verfasser aut Probabilistic Behavior of Harmonic Functions by Rodrigo Bañuelos, Charles N. Moore Basel Birkhäuser Basel 1999 1 Online-Ressource (XIV, 209 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 175 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 Mathematics Mathematics, general Mathematik Harmonische Funktion (DE-588)4159122-7 gnd rswk-swf Martingaltheorie (DE-588)4168982-3 gnd rswk-swf Harmonische Funktion (DE-588)4159122-7 s Martingaltheorie (DE-588)4168982-3 s 1\p DE-604 Moore, Charles N. Sonstige oth https://doi.org/10.1007/978-3-0348-8728-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bañuelos, Rodrigo Probabilistic Behavior of Harmonic Functions Mathematics Mathematics, general Mathematik Harmonische Funktion (DE-588)4159122-7 gnd Martingaltheorie (DE-588)4168982-3 gnd |
| subject_GND | (DE-588)4159122-7 (DE-588)4168982-3 |
| title | Probabilistic Behavior of Harmonic Functions |
| title_auth | Probabilistic Behavior of Harmonic Functions |
| title_exact_search | Probabilistic Behavior of Harmonic Functions |
| title_full | Probabilistic Behavior of Harmonic Functions by Rodrigo Bañuelos, Charles N. Moore |
| title_fullStr | Probabilistic Behavior of Harmonic Functions by Rodrigo Bañuelos, Charles N. Moore |
| title_full_unstemmed | Probabilistic Behavior of Harmonic Functions by Rodrigo Bañuelos, Charles N. Moore |
| title_short | Probabilistic Behavior of Harmonic Functions |
| title_sort | probabilistic behavior of harmonic functions |
| topic | Mathematics Mathematics, general Mathematik Harmonische Funktion (DE-588)4159122-7 gnd Martingaltheorie (DE-588)4168982-3 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Harmonische Funktion Martingaltheorie |
| url | https://doi.org/10.1007/978-3-0348-8728-1 |
| work_keys_str_mv | AT banuelosrodrigo probabilisticbehaviorofharmonicfunctions AT moorecharlesn probabilisticbehaviorofharmonicfunctions |